put forward vs run something up the flagpole

put forward

verb
  • To propose for consideration. 

  • To change the time in a time zone to a later time. 

run something up the flagpole

verb
  • To propose an idea or make a suggestion in order to learn the reaction of others to it. 

How often have the words put forward and run something up the flagpole occurred in a corpus of books? (source: Google Ngram Viewer )