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Investments in Real Estate - Land Held for Development (Details)
$ in Thousands
12 Months Ended
Dec. 31, 2022
USD ($)
a
extensionOption
acre
Dec. 31, 2021
USD ($)
Real Estate [Line Items]    
GAAP Investment Balance as of 12/31/2022 $ 84,412 $ 104,160
Real Estate Investment    
Real Estate [Line Items]    
Approx. Developable Acres (unaudited) | a 450  
GAAP Investment Balance as of 12/31/2022 $ 84,412  
LXP Amount Funded as of 12/31/2022 $ 79,906  
Reems & Olive | Phoenix, AZ | Real Estate Investment    
Real Estate [Line Items]    
Approx. Developable Acres (unaudited) | a 320  
GAAP Investment Balance as of 12/31/2022 $ 77,379  
LXP Amount Funded as of 12/31/2022 $ 73,957  
Project ownership percentage 95.50%  
Number of leased acres | acre 100  
Number of acres | acre 420  
Lease term 20 years  
Number of lease extension options | extensionOption 3  
Real estate investment property, lease extension term 10 years  
Initial annual rental payments $ 5,228  
Increase in annual rental payments, percent 0.04  
Mt. Comfort Phase II | Indianapolis, IN | Real Estate Investment    
Real Estate [Line Items]    
Approx. Developable Acres (unaudited) | a 116  
GAAP Investment Balance as of 12/31/2022 $ 5,301  
LXP Amount Funded as of 12/31/2022 $ 4,213  
Project ownership percentage 80.00%  
Fairburn JV | Atlanta, GA | Real Estate Investment    
Real Estate [Line Items]    
Approx. Developable Acres (unaudited) | a 14  
GAAP Investment Balance as of 12/31/2022 $ 1,732  
LXP Amount Funded as of 12/31/2022 $ 1,736  
Project ownership percentage 100.00%