prove out vs take place

prove out

verb
  • To turn out to be feasible, accurate, true, satisfactory, as expected, hoped, stated, etc. 

  • To demonstrate the feasibility of; to show or be shown to be feasible, accurate, true, satisfactory, as expected, hoped, stated, etc. 

take place

verb
  • To happen or to occur. 

How often have the words prove out and take place occurred in a corpus of books? (source: Google Ngram Viewer )