*This question more so applies to straight men, since gay men would not have any hidden attraction towards the woman to motivate his action. ;)
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If I'm attracted to girl* then I ask her out. And if she rejects me and still wants to be friends then I make friends with her and maybe see if she has nice girlfriends I like and repeat. For ones I don't find attractive, I just make friends right away.
* When I say I'm attracted to girl, I mean on more than a simple physical level. I find one of my close friends very attractive physically but she's a mega slut sleeping with new guy every weekend, and I am not attracted to her (don't want her) that way.
I do sometimes.
I usually become friends with women that I work with.
If we become very good friends over the years I start to get a bit of feelings for her.
I guess it's just natural.
I don't act on it especially if she's married, but it's always going to be a little more than a male friendship for me.