put forward vs suggest

put forward

verb
  • To propose for consideration. 

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

suggest

verb
  • To explicitly mention (something) as a possibility for consideration, often to recommend it 

  • To cause one to suppose (something); to bring to one's mind the idea (of something). 

  • To imply but stop short of explicitly stating (something). 

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