There's a little misconception around here about listening to a girl's problems.
This stems from the fact that most of the time, the girl is question has a boyfriend or isn't interested in you in the least. In this case, you are just an emotional tampon, like a chick-friend to her. When you listen to THIS girl's problems you move farther and farther into the friend zone and she becomes less and less attracted to you.
But if the girl is your girlfriend or a prospect who actually likes you, it pays for the guy to listen. That is what she needs in a partner.
Of course, you don't try to solve her problems. Chicks hate this, they just need to vent, to talk through their problems out-loud. Most women can not think through a problem in their head. They often need to say it out loud to themselves, to their girlfriends etc. Us guys often say at this point, "well its simple, just do this ..." Women hate this.
And you don't listen to her problems all night. Five, 10 minutes at most, repeat some of it back to her, tell her you understand and then go back to having FUN, take her mind off it. This is what a chick wants from you, especially girlfriends and wives.
And when you listen to her problems, you get to assess what type of chick she is, how psycho she really is.