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Related to read up: run an errand, To Say the Least, worse for wear
read up (on someone or something)
to find and read some information about someone or something. Please go to the library and read up on George Washington. I don't know anything about that. I guess I need to read up.
Study or learn by reading, as in I don't know much about childhood illnesses, but I can always read up on them. [First half of 1800s]