put aside vs put out of one's mind

put aside

verb
  • To ignore or intentionally disregard (something), temporarily or permanently, so that more important things can occupy one's attention. 

  • Used other than figuratively or idiomatically: see put, aside. 

  • To save or keep (something) to be used at a later time. 

put out of one's mind

verb
  • To avoid thinking about something. 

How often have the words put aside and put out of one's mind occurred in a corpus of books? (source: Google Ngram Viewer )