"9 These will pay the penalty of eternal destruction, away from the presence of the Lord and from the glory of His power," 2 Thess. 2:9 (NASB)
"9 Then another angel, a third one, followed them, saying with a loud voice, “If anyone worships the beast and his image, and receives a mark on his forehead or on his hand, 10 he also will drink of the wine of the wrath of God, which is mixed [f]in full strength in the cup of His anger; and he will be tormented with fire and [g]brimstone in the presence of the holy angels and in the presence of the Lamb." Rev. 14:9-10 (NASB)
Jesus is both the Lamb and the Lord, God.
"The “presence”—or, more literally here, ”the face—of the Lord,” as well as “the glory of His power,” is a metaphor from the courts of Oriental kings, where only honoured courtiers are admitted to spend their time in the immediate and familiar presence of the sovereign. Familiar contact with Christ hereafter, which will be accorded to all the saved, was God’s ideal intention for the lost as well, therefore it is a positive “destruction” to be banished from it." "
Thus the angels would be the "honoured courtiers" and some may read it to mean that Jesus is one of those too.
Mattheww 25
31“When the Son of Man comes as King and all the angels with him, he will sit on his royal throne, 32 and the people of all the nations will be gathered before him. Then he will divide them into two groups, just as a shepherd separates the sheep from the goats. 33 He will put the righteous people at his right and the others at his left. 34 Then the King will say to the people on his right, ‘Come, you that are blessed by my Father! Come and possess the kingdom which has been prepared for you ever since the creation of the world. 35 I was hungry and you fed me, thirsty and you gave me a drink; I was a stranger and you received me in your homes, 36 naked and you clothed me; I was sick and you took care of me, in prison and you visited me.’ 37 The righteous will then answer him, ‘When, Lord, did we ever see you hungry and feed you, or thirsty and give you a drink? 38 When did we ever see you a stranger and welcome you in our homes, or naked and clothe you? 39 When did we ever see you sick or in prison, and visit you?’ 40 The King will reply, ‘I tell you, whenever you did this for one of the least important of these followers of mine, you did it for me!’
41 “Then he will say to those on his left, ‘Away from me, you that are under God's curse! Away to the eternal fire which has been prepared for the Devil and his angels! 42 I was hungry but you would not feed me, thirsty but you would not give me a drink; 43 I was a stranger but you would not welcome me in your homes, naked but you would not clothe me; I was sick and in prison but you would not take care of me.’ 44 Then they will answer him, ‘When, Lord, did we ever see you hungry or thirsty or a stranger or naked or sick or in prison, and we would not help you?’ 45 The King will reply, ‘I tell you, whenever you refused to help one of these least important ones, you refused to help me.’ 46 These, then, will be sent off to eternal punishment, but the righteous will go to eternal life.”
In short the punishment must start in God's direct presence and will continue after they are no longer in his direct presence.