I had two Care Credit/Synchrony Bank Cards ( for XXXX providers ) in the past. 

I thought both accounts are closed : The CARECREDIT / SYNCHRONY BANK website states : Important This account has been closed. No further purchases will be allowed. 
It shows no balance on my account Now that I have a new dog I want to open a new account. But my applications are denied stating, Existing account with our credit program. 

If the website says my account is closed and the letter states I have an existing account then someone must be using my Social Security number FRADULENTLY.