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Units Outstanding
 6 Months Ended
Jun. 30, 2025
Equity [Abstract]  
Units Outstanding Units Outstanding
Changes in AB Holding Units outstanding during the six-month period ended June 30, 2025 are as follows:

Outstanding as of December 31, 2024110,530,329 
Units issued1,054,928 
Units retired(1,047,962)
Outstanding as of June 30, 2025110,537,295