go a long way vs move forward

go a long way

verb
  • To achieve considerable success. 

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

move forward

verb
  • To make progress. 

  • To modernize. 

  • To reschedule (something) to an earlier date or time. 

  • Used other than figuratively or idiomatically: see move, forward. 

  • To cause to make progress. 

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