lead up to vs pave the way for

lead up to

verb
  • To set in motion; to act as a causal or preparatory event or sequence of events. 

  • To follow or mark a path toward. 

  • To precede in time. 

pave the way for

How often have the words lead up to and pave the way for occurred in a corpus of books? (source: Google Ngram Viewer )