I’m not following - income tax and cap gains tax are two separate things, the 3k offset on income is just a cherry on top to me

The other cap losses can be indefinitely carried over to future years

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If you only take capital losses, you are capped at subtracting $3k from your total AGI. I’m not sure what you’re missing here. If you took a $50k capital loss, it would take 17 years to recognize it. Most people have income and capital gains/losses, and that’s why you want the losses to be subtracted from your income. You lost money.