castoff vs cold shoulder

castoff

noun
  • Something that has been rejected or discarded; a reject. 

adj
  • discarded, rejected. 

cold shoulder

noun
  • A deliberate act of disrespect; a slight or snub 

verb
  • To deliberately slight or snub someone. 

How often have the words castoff and cold shoulder occurred in a corpus of books? (source: Google Ngram Viewer )