"To resolve the contradiction" means to find a solution or explanation that eliminates the disagreement or conflict between two opposing ideas or statements. Full definition
Yet efforts emerging from the Christian faith were conspicuous and were partly successful in resolving those contradictions in such fashion as to bring individuals and the nascent world community more nearly to conformity to the demands of Christ. (religion-online.org)
* With either Peter or Emilia, are you in a situation where you couldn't resolve the contradiction between your moral beliefs and their request for your help? (religion-online.org)