Genuine Question

I’m a little confused by this idea of the Arab League calling on western powers to intervene militarily in Libya. If the Arab League is so eager to see an intervention, why don’t Arab League member states intervene in Libya? Egypt, in particular, is conveniently located adjacent to Libya and specifically to the opposition-held portion of Libya. Even better, Egyptian soldiers would speak the same language as Libyan people.

Of course mounting a intervention would be expensive for Egypt, but there are plenty of rich Gulf states that could help defray the costs. The point is that it seems to me like an Arab League that sincerely wanted to help the Libyan rebels has plenty of ways of doing so while the kind of western intervention they’re calling for seems very unlikely. But is there some logistical or geographical angle I’m missing here?