Syncrony is reporting closed and 0 because it was sold to Cavalry. You cannot have 2 debts reporting same debt (as to why Syncrony no longer shows you even owe them anything and reporting zero). Cavalry is reporting due to them owning the debt now (which is correct). So, it is not a duplicate. It would be a duplicate if Syncrony was reporting same balance as Cavalry.
Now, have you paid Cavalry? When was DOFD? Also, what state are you in? Do you know your states SOL? If it's still in the SOL time frame and you didn't pay yet, you won't get it off unless it's legit NOT your debt. If you DID pay it and it's still within the 7.5 time frame allowable to be on credit report, you can send goodwill letters out to Cavalry asking for deletion. There's many examples of goodwill letters on here.