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Units Outstanding (Tables)
12 Months Ended
Dec. 31, 2020
Equity [Abstract]  
Changes in Units Outstanding
Changes in AB Units outstanding for the years ended December 31, 2020 and 2019 were as follows:
20202019
Outstanding as of January 1,270,380,314 268,850,276 
Options exercised5,182 511,894 
Units issued3,363,132 4,833,715 
Units retired(1)
(3,238,970)(3,815,571)
Outstanding as of December 31,270,509,658 270,380,314 
(1) During 2020 and 2019, we purchased 1,500 and 3,782 AB Units, respectively, in private transactions and retired them.