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So I replaced my paypal credit card in June of 2020. As a result Syncrony closed that account and opened a new one with the same history. However, to this day the old account is still showing on all my reports, I thought it would be deleted. Is this hurting my score in some way? If it is how do I remove it? My fear is hurting my relationship with Syncrony in any way as they have been good to me with being new to credit and a low income.
No, it's helping. If it was closed in good standing, which it must have been in order to be converted over, then leave it there. It helps with age and file thickness.
Normally a closed account in good standing stays on your report (and contributes to your average age of accounts [AAoA]) for 10 years or so.
There are a number of reasons an account may be "closed" and replaced with a new, backdated account. Credit card replacements due to theft/compromise/fraud is one. Another is when a loan (mortgages usually) get sold/transferred to a new bank. The old loan closes and the new one starts reporting, but both loans have the same opening date and opening balance on your report, so your scores are only minimally effected in most cases.
I don't know if such accounts are linked so the FICO algorithm can treat them as a single account for age purposes, but assuming it doesn't, it can either help your score if it's an an older account than your AAoA or hurt it if it's younger.