go a long way vs hang on

go a long way

verb
  • To achieve considerable success. 

  • To be adequate or helpful for a significant amount of time. 

hang on

verb
  • To persevere. 

  • To hold, grasp, or grip. 

  • To pay close attention to, or regard with (possibly obsequious) admiration. 

  • To depend upon. 

  • To keep; to store something for someone. 

  • To continually believe in something; to have faith in. 

  • To wait a moment. 

How often have the words go a long way and hang on occurred in a corpus of books? (source: Google Ngram Viewer )