cut ice vs involve

cut ice

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

involve

verb
  • To cause or engage (someone or something) to participate or to become connected or implicated. 

  • To take in; to gather in; to mingle, blend or merge. 

  • To comprise or include; to have as a related part. 

  • To complicate or make intricate. 

  • To envelop, enfold, entangle. 

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