As the elect are enjoying a period of (aionion) life with the Lord, the wicked will be enduring an (aionion) period of correction. After which Jesus will surrender His sonship "that God may be all in all" to the Father, all humanity will surrender likewise to the Father, as they bow and confess Jesus Christ as Lord to the glory of God the Father.
So everlasting punishment won't last forever? Sweeeeet!
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Hebrews 13:23 Know ye that our brother Timothy is set at liberty