go together vs have a thing

go together

verb
  • To be in a relationship. 

  • To be inseparable; to go hand in hand. 

  • To accompany each other (e.g. to an event). 

  • To correspond or fit well. 

have a thing

verb
  • To be in a casual romantic relationship. 

  • To have a crush on, or a soft spot for, someone. 

How often have the words go together and have a thing occurred in a corpus of books? (source: Google Ngram Viewer )