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I wouldnt think to much on the sub prime mailers. I get them all the time from a place called "first premier" saying im pre approved for a card up to 1500 dollars. I havent had a card with a limit that low since I was 18. I also all the time get those cold calls form people saying Im pre approved to reduce all my high APR credit cards to below 6%. For fun I finally pressed one to talk to someone and see what they asked for. First thing was "what are your total outstanding bbalances and I just said "6-8 dollars maybe 9 dollars on a hard month" he was like "oh really, *click" haha. For what its worth I have never been pre approved for any card and still get approved when I apply.
Chase is sensitive to inquiries and new accounts.