Verb aver has 2 senses
  1. allege, aver, say - report or maintain; "He alleged that he was the victim of a crime"; "He said it was too late to intervene in the war"; "The registrar says that I owe the school money"
    --1 is one way to assert, asseverate, maintain
    Sample sentence:
    They aver that there was a traffic accident
  2. affirm, verify, assert, avow, aver, swan, swear - to declare or affirm solemnly and formally as true; "Before God I swear I am innocent"
    --2 is one way to declare
    Derived form: noun averment1
    Sample sentence:
    They aver that there was a traffic accident
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