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Are these federal or private student loans?
Simply disputing something is unlikely to get it removed from your profile unless the account itself is not yours. This is especially true if they are federal student loans.
If you choose to do student loan rehab the default status will be removed (lates will remain) and new tradelines will be created (usually backdated to the date they were originally opened, I think).
If you are delinquent on a federal student loan and it has reached the default status (i.e., 270+ days late), you would likely want to do a rehab on the loan to remove the prior showing of default.
If the student loan is private, then it is subject to SOL.
Paying will likely set a new SOL, so be careful that you can make the agreed payments and dont "reset" the SOL.
Is it a federal student loan, has it reached default, and if private, what is its SOL status?