redound vs serve to

redound

verb
  • To reverberate, to echo. 

  • To attach, come back, accrue to someone; to reflect back on or upon someone (of honour, shame etc.). 

  • To roll back; to be sent or driven back. 

  • To arise from or out of something. 

  • To contribute to an advantage or disadvantage for someone or something. 

  • To contribute to the honour, shame etc. of a person or organisation. 

  • To reflect (honour, shame etc.) to or onto someone. 

noun
  • A coming back, as an effect or consequence; a return. 

serve to

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