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Units Outstanding (Tables)
 9 Months Ended
Sep. 30, 2023
Equity [Abstract]  
Changes in Holding Units Outstanding
Changes in AB Holding Units outstanding during the nine-month period ended September 30, 2023 are as follows:

Outstanding as of December 31, 2022113,801,097 
Units issued226,691 
Units retired(2,230,915)
Outstanding as of September 30, 2023111,796,873