I read some bickering about this amongst conservatives, and the reasoning seems to be:
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Conception should occur from sex because of the love between husband, wife, and God or something
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Typically, they'll harvest(?) multiple embryos, check if they are viable or have genetic abnormalities, then discard those that aren't viable or will result in major disabilities. To them, this is killing those unviable/unhealthy "babies". Sometimes the couple will freeze multiple embryos as backups, but not need them after a successful pregnancy (or more). Those microscopic globs of cells that they call babies are then "murdered". Their point is that this results in more deaths than lives.
I'm curious what their opinion would be if a woman wanted IVF after 5 miscarriages, was unable to get the treatment, and went on to have 7 more miscarriages, still without having a successful birth. To be real, fundie couples who refuse contraceptives and are hell bent on having a child could go through many more miscarriages than that.
IUDs and some birth control pills work by preventing implantation. Those would be banned, too.