counterweigh vs nullify

counterweigh

verb
  • To act as counterbalance (against something). 

  • To counterbalance; to balance out. 

nullify

verb
  • To prevent from happening. 

  • To make of no use or value; to cancel out. 

  • To make legally invalid. 

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