As Lazarus was in torment only for a time, so also the Rich man's torment must end

Many cite the Lazarus and the Rich Man parable for proof the wicked will suffer eternal fire in Hades. But that conflicts with the “governing principle” that determines what happens to the rich man. Notice what Abraham says in Lk. 16:25 'you received good, he evil…now he is comforted, you are tormented."

23 "And being in torments in Hades, he lifted up his eyes and saw Abraham afar off, and Lazarus in his bosom.
24 "Then he cried and said,Father Abraham, have mercy on me, and send Lazarus that he may dip the tip of his finger in water and cool my tongue; for I am tormented in this flame.' 25 "But Abraham said,Son, remember that in your lifetime you received your good things, and likewise Lazarus evil things; but now he is comforted and you are tormented.
26 `And besides all this, between us and you there is a great gulf fixed, so that those who want to pass from here to you cannot, nor can those from there pass to us.’ (Lk. 16:23-26 NKJ)

Lazarus was tormented (crippled, disease, hunger) only during his lifetime, and when he died it ended.

It follows the Rich man should be tormented only for a human lifetime, or until he “dies.”

A man figuratively dies in scripture when they repent and turn to God, they are called “new” or “born again” which implies the old man died.

Therefore, when the Rich in Hades repents of his sin, the torments in hell should end.

It does not follow he can leave Hades, there is that “great gulf fixed”. But on Judgment day, when Hades is emptied out, it follows if he was tormented for his sins “according to men in the flesh,” if he heeds the gospel preached the torment ends, and “he lives according to God in the spirit” and comes out of Hades into a resurrection of life:

6 For this reason the gospel was preached also to those who are dead, that they might be judged according to men in the flesh, but live according to God in the spirit. (1 Pet. 4:6 NKJ)

28 "Do not marvel at this; for the hour is coming in which all who are in the graves will hear His voice
29 "and come forth-- those who have done good, to the resurrection of life, and those who have done evil, to the resurrection of condemnation. (Jn. 5:28-29 NKJ)

13 The sea gave up the dead who were in it, and Death and Hades delivered up the dead who were in them. And they were judged, each one according to his works.
14 Then Death and Hades were cast into the lake of fire. This is the second death.
15 And anyone not found written in the Book of Life was cast into the lake of fire.
(Rev. 20:13-15 NKJ)