Verb go after has 2 senses
  1. chase, chase after, trail, tail, tag, give chase, dog, go after, track - go after with the intent to catch; "The policeman chased the mugger down the alley"; "the dog chased the rabbit"
    --1 is one way to pursue, follow
    Sample sentence:
    Sam cannot go after Sue
  2. quest for, go after, quest after, pursue - go in search of or hunt for; "pursue a hobby"
    --2 is one way to search, seek, look for
    Sample sentences:
    Somebody ----s something
    Somebody ----s somebody
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