belie vs put on an act

belie

verb
  • To fill with lies; to lie to. 

  • To contradict, to show (something) to be false. 

  • To show, evince or demonstrate (something) to be present, particularly something deemed contradictory or ironic. 

  • To call a liar; to accuse of falsehood. 

  • To give a false representation of. 

  • To conceal the contradictory or ironic presence of (something). 

put on an act

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