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I don't have my book with me, so I don't know if this is already covered, but does a character's hit points increase if it gains a point of CON after leveling up?

Apart from mutations, it seems to be the only way that a MF character can increase their HP. So, in short, yes. Yes they do.

I'll second what the gentleman said. They get more HP with the CON increase.

That's what I was thinking as well. Thanks for your opinions.