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I only text her to meet up, if I have no time to meet I don't text her for 4 days or more.
Also, I always assume she wants to see me in my messages "let's meet! 7 pm at X. Can you make it?"
see this could be your problem too. it could be too last minute. it seems like shes a busy girl and, like i already mentioned, you're not yet established in her life. why not try something not so last minute. maybe monday text her if she wants to get together either wednesday or thursday. gauge her reaction and go from there.
also i feel like you should text her funny/playful stuff to spark some discussion, increase attraction, and stay on her radar. guys around here freak about about this all the time, but im not sure why. obviously it needs to be DONE CORRECTLY. youre not being needy, having long, boring conversations or bombing her with texts all the time.
this will have the other effect of showing her that youre interested in talking to her and getting to know her. think about it from her perspective: she doesnt hear from you for a week and then out of the blue you text her to hang out. she cant make it so she declines. then a week later, after no other contact, you ask her out again out of the blue. it kinda looks like youre only interested in trying to fuck her and not really in getting to know her better.