endure vs face up to

endure

verb
  • To tolerate or put up with something unpleasant. 

  • To remain firm, as under trial or suffering; to suffer patiently or without yielding; to bear up under adversity; to hold out. 

  • To last. 

  • To continue or carry on, despite obstacles or hardships; to persist. 

  • To suffer patiently. 

face up to

verb
  • To confront a condition or situation, typically one that is unpleasant or uncomfortable. 

How often have the words endure and face up to occurred in a corpus of books? (source: Google Ngram Viewer )