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only the $1 gets taxed at 15%
If the $1 is ordinary income, it goes to the "front of the line", pushing $1 of the LTCG to the 15% tax rate. That is, the $1 is taxed at 15% (LTCG rate) not 22% (the ordinary income rate). Another way to look at it is: your standard deduction first offsets ordinary income before it offsets LTCG. After that ordinary income is taxed before LTCG.
For an MFJ tax filer in tax year 2024:
Total taxable income including LTCG $94050 or less = LTCG taxed at 0%
Total taxable income including LTCG $94051 - $583,750 = LTCG taxed at 15%
Total taxable income including LTCG over $583,750 = LTCG taxed at 20%
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