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Are both separate and legitimate debts?
Are you willing to pay in order to either remove the charge-off or collection, or prevent another collection from reporting, or is your primary emphasis at this time to either determine if the debt is valid or to contest the debt?
For the one under collection, who currently owns the debt, and when did the debt collector send dunning notice?
For the one charged-off, it could soon be placed for collection or sold, resulting in another collection reporting.