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> The invention of the cotton gin increased the use of slaves; it didn’t decrease it.

Because the efficiency increase in that part of the process meant we could grow so much more cotton to be processed. It wasn't very profitable before that, because slave labor wasn't very efficient at the process.

(This led, eventually, to more automation of the planting/harvesting process.)

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Clearly, you are much more clever than I am because I still have no idea what your thesis is supposed to be.
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Thesis: Slavery is a morally unacceptable crutch that leads to stagnation over innovation in the long run.
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