the APA task force on mental health and abortion found that there was

“no evidence sufficient to support the claim that an observed association between abortion history and mental health was caused by the abortion per se, as opposed to other factors.”

but try telling that to these people, who can’t even interpret this study properly.

here’s an amusing question, though, from freakonomics: does depression lower abortion rates? (note: i think their attempt to draw correlations between the two things are misguided, at best - if anything, depression would lower abortion rates because so many antidepressants have nasty sexual side effects.¹ and not “nasty” in a good way.)
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¹ which is unfortunate, as some studies suggest depressed people have more sex than their non-depressed counterparts. although the argument may be made that they’re not having good sex, they’re having desperate sex.