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If feasible for you, I would go ahead and pay off this loan as quickly as you are able to. It will not make a difference with regard to the baddies whether you pay the loan off now, or whether you pay it off in the future. They will remain on your report for 7 years from the date that they happened. The good news though is that after the baddies fall off, then the "good" payments will remain on your report for 10 years.
Also, with interest rates that low, there is a good possibility they have variable interest rates. (unless you consolidated into a fixed rate. If they are variable, they adjust in July of every year. They should go up a few basis points in about 2 weeks. Predicting what will happen next year and beyond is a bit more difficult. I doubt the interest will change much in the short term, but the sooner you pay it off the better.