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How severe is the late? What date is that late?
If it is legit, you should not dispute it. You can GW them and try to get it removed that way though. At least 7 years isnt too far away at all. I would assume at the latest it hits 7 years in Dec.
I would leave them allone.
They will each become excluded after 7 years from their indiviudal dates of occurence.
Even if you have a legitimate basis for disputing their accuracy, by the time you go through the dispute process, they most likely will be gone on their own.
Meanwhile, you will have a pending dispute flag which will remove certain OC account info from your scoring, thus making your score kinda useless in the interim.
I agree that it's probably not worth doing anything ~ if the worst is a 60 day late from 2006, then it will be dropped from your report very soon anytime. Also, most of the FICO score hit has probably already be recouped.