posit vs run something up the flagpole

posit

verb
  • Propose for consideration or study; to suggest. 

  • Assume the existence of; to postulate. 

  • Put (something somewhere) firmly; to place or position. 

noun
  • Something that is posited; a postulate. 

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 posit and run something up the flagpole occurred in a corpus of books? (source: Google Ngram Viewer )