'Renewing' in the Bible

He saved us, not because of any works of righteousness that we have done, but because of His own compassion and mercy, by the cleansing of the new birth (spiritual transformation, regeneration) and renewing by the Holy Spirit,

for this [first or outer tabernacle] is a symbol [that is, an archetype or paradigm] for the present time. Accordingly both gifts and sacrifices are offered which are incapable of perfecting the conscience and renewing the [inner self of the] worshiper.