air one's dirty laundry in public vs air one's dirty linen in public

air one's dirty laundry in public

verb

  • to reveal one's secrets to the public. 

air one's dirty linen in public

verb

  • Synonym of air one's dirty laundry in public 

How often have the words air one's dirty laundry in public and air one's dirty linen in public occurred in a corpus of books? (source: Google Ngram Viewer )