How should apparently conflicting evidences that cannot be reconciled be handled in usul al-fiqh?

Summary

According to the majority of jurists, there are three ways to avoid conflict between evidences: combining and harmonising them, preferring one as stronger (rajih) over the weaker (marjuh) when they cannot be combined, and abrogation (nasakh). Abrogation requires knowing which evidence came earlier and which came later. For two irreconcilable opinions of an imam whose dates are known, the later opinion is his school's position, as cited from Ibn Hamdan.

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