keep back vs put a lid on

keep back

verb
  • To restrict or restrain. 

  • To hold back; to refuse to give or share. 

  • To prevent (a pupil) from advancing in a course. 

  • To stay back; to refrain from approaching. 

put a lid on

verb
  • To get under control, to prevent (something) from increasing or becoming more of a problem. 

How often have the words keep back and put a lid on occurred in a corpus of books? (source: Google Ngram Viewer )