put a lid on vs subdue

put a lid on

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

subdue

verb
  • To overcome, quieten, or bring under control. 

  • To bring (a country) under control by force. 

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