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What type of issuer is the card? Discover? Capital one?
Certain banks are stingy with CLI's(from what ive read )
They are probably waiting for your credit score to improve.
Sub-prime Banks rarely give out CLI...they want to keep collecting AF as long as they could.
Best thing to do if you have to start with sub-prime, let your card age for a bit and than app with prime banks.
It's a process but you have to have patience.
Well don't close the card or account that's is for sure not the right thing to do. Just hang in there you need to keep up what your doing only time will tell like years! If it were easy then everyone would have good credit dont give up.