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No. Why would that necessarily get weeded out by evolution?
So, natural selection is picking the creatures that reproduce the most and survive best in their environment. The is an optimal level of sex drive: above that level and it hurts fitness; below that level and it also hurts fitness,
You could imagine its like, a guy who has too strong of a sex drive focuses on that way too much, and not enough on his career or providing for anyone. He also cant keep a relationship because he wants to fuck other women too much.
Answering your question, it turns out that this sex drive level varies between men and women. The optimal level for men is different than what it is for women. Being a sexually dimorphic species men and women have different biology and can independently evolve to what is fit for their sex.