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Do “Instant Approved” credit card inquires appear on credit report?
Yes, they do. Generally though you'll only see it on one or two reports. With regards to the impact on your credit score.  Hard inquiries only stay on your credit for 2 years, after that they fall off.  For most credit scores (specifically FICO) they only have an impact for 1 year after their date.  If you have a few in the same 30 day period FICO will lump these into 1 pull to allow you to shop around for credit/loans.  They also have a low to medium impact on your score.