The unsaved are resurrected for the Last Judgement, receive their sentence, and then are condemned to eternal death, which means that they pass out of existence. The unsaved are resurrected for the Last Judgement, sentenced to hell, which is of limited duration depending on the sins in this life. At the end of the penalty, the wicked are annihilated. This view reasons that the sins of this life are of a finite nature, therefore the penalty is also finite. The imagery of hell as eternal fire is not to cause pain, but to secure destruction, which fire is known to do.
Fire consumes what it burns.
Eternal punishment would be disproportionate to sins committed in time. The appeal here is made to divine justice. Punishment that never ends does not seem fair. The punishment must match the crime. The eternal existence of the impenitent in hell would be hard to reconcile with God's promises of final victory over evil.