<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019c9083-094a-715d-8f97-eaa335fb88bd,g:2e68df4b-6d70-49af-8b72-f972f4c9ed10-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.great-ajax.com/role/CoverPage" xlink:type="simple" xlink:href="ajx-20260424.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://www.great-ajax.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019c9083-094a-7c26-bc08-6d7432a95f44" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntitiesTable_019c9083-094a-7de9-8b96-32a187af8812" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntitiesTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019c9083-094a-7c26-bc08-6d7432a95f44" xlink:to="loc_dei_EntitiesTable_019c9083-094a-7de9-8b96-32a187af8812" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_019c9083-094a-7e52-b342-949406447a5a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntitiesTable_019c9083-094a-7de9-8b96-32a187af8812" xlink:to="loc_us-gaap_StatementClassOfStockAxis_019c9083-094a-7e52-b342-949406447a5a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_019c9083-094a-7874-aed1-b0b079f9a025" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ClassOfStockDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementClassOfStockAxis_019c9083-094a-7e52-b342-949406447a5a" xlink:to="loc_us-gaap_ClassOfStockDomain_019c9083-094a-7874-aed1-b0b079f9a025" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember_019c9083-094a-71b1-adaa-f3fa9eb71d18" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_019c9083-094a-7874-aed1-b0b079f9a025" xlink:to="loc_us-gaap_CommonStockMember_019c9083-094a-71b1-adaa-f3fa9eb71d18" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesCPreferredStockMember_019c9083-094a-711c-b79a-040c3d85758a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SeriesCPreferredStockMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_019c9083-094a-7874-aed1-b0b079f9a025" xlink:to="loc_us-gaap_SeriesCPreferredStockMember_019c9083-094a-711c-b79a-040c3d85758a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityInformationLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntitiesTable_019c9083-094a-7de9-8b96-32a187af8812" xlink:to="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019c9083-094a-70e9-9f2e-7b7b0f7de3cb" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_DocumentType_019c9083-094a-70e9-9f2e-7b7b0f7de3cb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019c9083-094a-7767-b111-11b9f7d28ca9" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_DocumentPeriodEndDate_019c9083-094a-7767-b111-11b9f7d28ca9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019c9083-094a-798b-ba3f-9f29d2d52dde" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_EntityRegistrantName_019c9083-094a-798b-ba3f-9f29d2d52dde" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019c9083-094a-73e3-9027-2af81fda2786" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019c9083-094a-73e3-9027-2af81fda2786" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019c9083-094a-7c64-88f2-4e58fcc0b0e5" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_EntityFileNumber_019c9083-094a-7c64-88f2-4e58fcc0b0e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019c9083-094a-789d-a248-e4843ad5a3d6" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_EntityTaxIdentificationNumber_019c9083-094a-789d-a248-e4843ad5a3d6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019c9083-094a-738a-aeda-c652ab1d858f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_EntityAddressAddressLine1_019c9083-094a-738a-aeda-c652ab1d858f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019c9083-094a-7345-b2e0-fadbc56bfff7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_EntityAddressCityOrTown_019c9083-094a-7345-b2e0-fadbc56bfff7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019c9083-094a-72b7-b1d2-664bd170a686" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_EntityAddressStateOrProvince_019c9083-094a-72b7-b1d2-664bd170a686" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019c9083-094a-7cee-892d-9c8bff59222b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_EntityAddressPostalZipCode_019c9083-094a-7cee-892d-9c8bff59222b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019c9083-094a-74b2-86d6-1bdd195bf1d7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_CityAreaCode_019c9083-094a-74b2-86d6-1bdd195bf1d7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019c9083-094a-7336-84b2-0952a64dafad" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_LocalPhoneNumber_019c9083-094a-7336-84b2-0952a64dafad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019c9083-094a-72ec-8801-f4f01bf617dc" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_Security12bTitle_019c9083-094a-72ec-8801-f4f01bf617dc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019c9083-094a-7e2b-884e-cfda2684b551" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_TradingSymbol_019c9083-094a-7e2b-884e-cfda2684b551" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019c9083-094a-7ec3-a396-a7b5a9fabe9d" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_SecurityExchangeName_019c9083-094a-7ec3-a396-a7b5a9fabe9d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019c9083-094a-7f38-a57e-50cd04cc032b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_WrittenCommunications_019c9083-094a-7f38-a57e-50cd04cc032b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019c9083-094a-74f4-b059-387802a9ba95" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_SolicitingMaterial_019c9083-094a-74f4-b059-387802a9ba95" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019c9083-094a-7363-aa34-dc428d8206d8" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_PreCommencementTenderOffer_019c9083-094a-7363-aa34-dc428d8206d8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019c9083-094a-734a-83e6-01cec53e695e" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019c9083-094a-734a-83e6-01cec53e695e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019c9083-094a-790e-bc6c-01aad6cdb388" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_EntityEmergingGrowthCompany_019c9083-094a-790e-bc6c-01aad6cdb388" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019c9083-094a-74d1-8517-3a4a0f60de16" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_EntityCentralIndexKey_019c9083-094a-74d1-8517-3a4a0f60de16" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019c9083-094a-786c-9bd5-1418366324f4" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityInformationLineItems_019c9083-094a-7748-b1ab-22a3648e9945" xlink:to="loc_dei_AmendmentFlag_019c9083-094a-786c-9bd5-1418366324f4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>