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Schedule of Activity in Real Estate Facilities (Detail) - USD ($)
 1 Months Ended 9 Months Ended 12 Months Ended
Jan. 31, 2021
Sep. 30, 2023
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Real estate facilities          
Real estate facilities, beginning balance $ 1,210,102,582 $ 1,887,205,645 $ 1,593,623,628 $ 1,210,102,582  
Facility acquisitions 371,507,610   298,341,568 47,162,974 $ 0
Impact of foreign exchange rate changes   (458,653) (12,984,154) (138,457) 4,147,798
Improvements and additions   8,237,964 8,224,603 [1] 12,151,893 [2]  
Other facility acquisitions     69,981,850 [3] 15,689,143  
Disposition due to deconsolidation [4]       (15,689,143)  
Acquisitions, additions and other [4]       15,689,143  
Acquisitions   23,696,536      
Real estate facilities, ending balance   1,918,681,492 1,887,205,645 1,593,623,628 1,210,102,582
Accumulated depreciation          
Accumulated depreciation, beginning balance $ (115,903,045) (202,682,688) (155,926,875) (115,903,045) (83,692,491)
Depreciation expense   (39,331,373) (48,400,073) (40,158,233) (31,711,102)
Impact of foreign exchange rate changes   97,602 1,644,260 71,937 (499,452)
Disposition due to deconsolidation [4]       62,466  
Accumulated depreciation, ending balance   $ (241,916,459) (202,682,688) (155,926,875) $ (115,903,045)
SST IV Merger Agreement          
Real estate facilities          
Facility acquisitions       $ 324,344,636  
SSGT II Merger Agreement          
Real estate facilities          
Facility acquisitions     $ 228,359,718    
[1] Included herein consists of approximately $1.0 million of solar panel installations, the remainder being comprised of other general capital improvements.
[2] Included herein is an addition to our Riverview, Florida property of approximately $2.3 million, which added approximately 25,400 net rentable square feet and approximately 150 additional units, and opened in June of 2021. The remainder consists primarily of solar panel installations, LED lighting conversions, and other general capital improvements.
[3] Such amount includes four individual property acquisitions completed during the year ended December 31, 2022.
[4] Such activity primarily represents the acquisition of a property completed by SST VI OP, which as of the acquisition date was consolidated within our consolidated financial statements. On May 1, 2021, we deconsolidated SST VI OP as we were no longer the primary beneficiary, which resulted in the removal of such facility from our consolidated balance sheet. Our investment in SST VI OP is now included within “Investments in and advances to managed REITs” within our consolidated balance sheet.