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Is the old account open or closed?
Hmmmm....so it is just showing as a closed account with the credit counseling service as the creditor?
I am new to all of this, but you could try a Good Will letter - ask them nicely to have it removed from your CR since it is closed (I assume paid in full?) and is 6 years old. I have had success with GW's myself - got an item removed from my EQ report (still working on TU grrrrr!)
Hopefully the more knowledgeable FICO'ers will pop in and give you more suggestions.
The good news is that it sounds like it is a closed, paid account that is 6 years old. I would think the impact would be minimal at this point.
No credit counseling service is EVER an original creditor.
Do you have an active contract with them? How are they "managing" the account?
What authority do they have to post anything to your credit file?