cut ice vs imply

cut ice

verb
  • To have influence (on something, especially someone's opinion); to be accepted or tolerated (by). 

imply

verb
  • to have as a necessary consequence 

  • to suggest by logical inference 

  • to hint; to insinuate; to suggest tacitly and avoid a direct statement 

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