do I understand capital gain tax correctly?

do I understand capital gain tax correctly? So say I have 100K in my stock portfolio and after a year it grows to 150k. If I sell 50k worth of my portfolio it will be taxed but as a long term capital gain tax rate. If I file jointly with my wife I get that money tax free however that 50k is applied to my income tax total which if we make 150k/year then my taxable income would be 200k. D...

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