Can you have accounts that have been closed for 2 to 4 years removed from your credit report?

If your question pertains to closed, positive, accounts; you do not want tyis type of account removed (or more accurately, shielded from view) on your credit file. Old positive accounts still show past payment history. If these accounts were open, they would be aiding your credit score by lengthening the time you have had open credit. But, even when closed, they show past credit history. This is good thing, and not something want removed.

If your question pertains to accounts with derogatory information; those items may legally show on your credit for 7 years from the date of last activity. After 2 to 4 years, you can write a letter of dispute to the credit bureaus. If the accounts are not verified within 30 days, they must be shielded. If verified, they will not only remain on your credit report, but also get updated. This won't change the length of time they show on your report, but MAY effect how much they impact your score.