遵行 is a formal verb usually paired with rules, laws, regulations, or instructions:
遵行规章 (zūnxíng guīzhāng, follow regulations),
遵行命令 (zūnxíng mìnglìng, obey orders). Compare with the more common
遵守 (zūnshǒu, abide by) —
遵守 is the everyday form,
遵行 is more formal/written and emphasizes acting on the rule.
