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I've never received an auto Kohl's CLI. I started at $300, then went to $700, then $1500, then $2500 within one year of having the card. All were requested online, were soft pulls and my credit was in the fair to good range then. I haven't bothered to ask again to go to $3000 as some reported recent hard pulls. I don't care to risk that for an additional $500.
Capital One is the lender for Kohl's. I started out with 250 limit. Then auto increase to 750, then i requested online it went to 1500 where it is currently. I opened the account in May 2015.