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Mortgage Loans - Schedule of loan acquisition reconciliation between purchase price and par value (Details) - USD ($) | 3 Months Ended | 6 Months Ended
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Jun. 30, 2021 | Jun. 30, 2020 | Jun. 30, 2021 | Jun. 30, 2020
Mortgage Loans on Real Estate |  |  |  |
Par | $ 46,485,000 | $ 0 | $ 46,485,000 | $ 11,970,000
Discount | (5,425,000) | 0 | (5,425,000) | (2,335,000)
Allowance | 6,000 | 0 | (1,727,000) | (4,000)
PCD Loans |  |  |  |
Mortgage Loans on Real Estate |  |  |  |
Par | 5,157,000 | 0 | 41,853,000 | 227,000
Discount | (390,000) | 0 | (3,319,000) | (37,000)
Allowance | 6,000 | 0 | (1,727,000) | (4,000)
Purchase Price | 4,773,000 | 0 | 36,807,000 | 186,000
Non-PCD |  |  |  |
Mortgage Loans on Real Estate |  |  |  |
Par | 0 | 0 | 3,611,000 | 1,952,000
Discount | 0 | 0 | (8,000) | (747,000)
Allowance | 0 | 0 | 0 | 0
Purchase Price | $ 0 | $ 0 | $ 3,603,000 | $ 1,205,000

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- Definition Discount at acquisition + References No definition available. + Details
Name: | ajx_DiscountAtAcquisition
Namespace Prefix: | ajx_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Par value at acquisition + References No definition available. + Details
Name: | ajx_ParValueAtAcquisition
Namespace Prefix: | ajx_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Total loan purchase price + References No definition available. + Details
Name: | ajx_TotalLoanPurchasePrice
Namespace Prefix: | ajx_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | srt_MortgageLoansOnRealEstateLineItems
Namespace Prefix: | srt_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Amount of allowance for credit loss at acquisition date of financing receivable purchased with credit deterioration. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 326 -SubTopic 20 -Section 50 -Paragraph 19 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=124255953&loc=SL82919265-210447 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Details
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Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_MortgageLoansOnRealEstateLoanTypeAxis=ajx_NonPCDLoansMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |