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After 7,5 years, the delinquencies will "drop" and the accounts will turn positive for a few more years.
I would, personally, leave the account on if I cant GW the lates away (and keep the tradeline). If you dont plan on buying a house or car in the next year.... the AAoA is worth more with your file.
I'd accept the delete and live with a thinner, cleaner file.
sent you a PM!