This is possible if you are filing jointly and have taxable income of less than $94,050.
Long term capital gains are taxed at 0% if your taxable income is less than $47,025 for Single or MFS or less than $94,050 for MFJ..
However, long term capital gains are included in your taxable income for the calculation of these thresholds, and that part of long term gains which crosses over $47,025 (Single or MFS) or $94,050 (MFJ) is taxed at 15%.
Please read this IRS document for more information.
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