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Fees and Related Party Transactions (Details) - USD ($)
3 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Advisory Fees [Abstract]    
Advisory fees at annual rate of the Members' Capital 1.50%  
Advisory fees $ 115,133 $ 109,909
Sponsor Fees [Abstract]    
Sponsor fees $ 59,183 57,817
Incentive Allocation [Abstract]    
Percentage of incentive allocation 20.00%  
Incentive allocation $ 678,638 346,636
Administrator's Fee [Abstract]    
Administrator's fee $ 9,768 $ 9,310
Class 0 Units [Member]    
Sponsor Fees [Abstract]    
Sponsor fees at annual rate of the Members' Capital 0.50%  
Class 2 Units [Member]    
Sponsor Fees [Abstract]    
Sponsor fees at annual rate of the Members' Capital 1.25%