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proselytize vs. evangelize

[pros-uh-li-tahyz] / ˈprɒs ə lɪˌtaɪz /
especially British, proselytise

verb (used with or without object)

proselytized, proselytizing
  1. to convert or attempt to convert as a proselyte; recruit to a religion or other belief system.

[ih-van-juh-lahyz] / ɪˈvæn dʒəˌlaɪz /
especially British, evangelise

verb (used with object)

evangelized, evangelizing
  1. to preach the gospel to.

  2. to convert to Christianity.

verb (used without object)

evangelized, evangelizing
  1. to preach the gospel; act as an evangelist.