do well vs go a long way

do well

verb
  • To succeed; to flourish. 

  • To take the prudent approach; to be advised. 

  • Used other than figuratively or idiomatically: see do, well. 

  • To benefit, to favour. 

go a long way

verb
  • To achieve considerable success. 

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

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