I suspect it's one of those things that glamorized, to be honest. Hence, feeling such sadness in being left out of the process of falling in love.
My suggestion, spend some time reading in this forum. You might surprise yourself and see many a commonality. There's a lot of pain that happens quite often after the searching phase. Not saying that's a definite outcome, but worth looking at as looking at the bigger picture goes. Sometimes a little perspective goes a long way is what I'm trying to say.
What about friendships with the opposite gender? Do you have any? Are you out exploring any hobbies or interests?
From what you've written, it does sound like your hearts desire is that a friendship would be established and when it feels right, taking things to a next step would feel natural.
Maybe change up your places that you spend time in??