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Do you have proof that the late payments were removed due to a dispute prior to this?
Are the lates legit?
I would first try to get them to correct.
If they won't and you have a print out with the same account # as what is reported on your CR showing no lates, then I would submit that to the CRA with a dispute. Cite the section of FCRA where the CRA is to consider information/proof the consumer provides.
If that doesn't work, complain to the BBB, your AG, and any regulatory agencies they are under.
If that doesn't work and you are willing to go through with it, consider a ITS letter.