hang together vs have a thing

hang together

verb
  • To be in a romantic relationship. 

  • To be connected. 

  • To be self-consistent and make sense; to seem plausible. 

  • To be united in defiance. 

  • To remain united; to stand by one another. 

  • 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 hang together and have a thing occurred in a corpus of books? (source: Google Ngram Viewer )