The person who "has more invested" in something, is the person who values it more. "Having more invested" is a particular idiom in English. What you are talkin

The person who "has more invested" in something, is the person who values it more. "Having more invested" is a particular idiom in English. What you are talking about is "sunk cost." So, in a given relationship, the man or the woman could value the children more. In a given relationship, the man or the woman could value sex more. It's not true that all men care less about (i.e., value less) their children, which is what you said, though I don't believe you meant it. That's why I said your statement was biased against men. I don't see how the generalization "women are more invested in sex" in either your interpretation of that phrase, or mine, would be correct.