Verb check up on has 1 sense
  1. check, check up on, look into, check out, suss out, check over, go over, check into - examine so as to determine accuracy, quality, or condition; "check the brakes"; "Check out the engine"
    --1 is one way to analyze, analyse, study, examine, canvass, canvas
    Sample sentence:
    They won't check up on the story
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