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I am applying to law school and just got my transcript processed by LSAC. I took some undergrad classes after I graduated and they are listed as graduate work on LSAC. Is it advised to explain this in an addendum? I was unaware that this would be classified as graduate work.

I don't think it needs to be explained that courses you took after you graduated are "graduate" work. Don't worry, unless you were pursuing a higher degree, there is no need to explain.