How can I make my long distance relationship real?

Uh yeah there is a way you can move. Call a moving company, pack your sh!t and get out of there if you really want to be with her that bad. Talk to her and say you're considering moving and see if she changes her mind. If she's still convinced that she wants to date other people, then don't go through the trouble or the money to be with her when clearly that's not what she wants.