Does having negative information drop from your credit report when the time limit has ran out boost your credit score automatically?
Yes. But probably not by much. The reason has to do with the
configuration of credit scoring software. Credit scores places the
most emphasis, 35%, on what has occured recently (within the last
12 mos). So, information so old that it is "dropping off" is not
causing much of a deduction anyway. However, the deduction that is
being generated would be gone once the data falls off. Even if this
is only a few points, yes, your score would recover those