Two points for those who would quote these types of verses:
1. The rich man and Lazarus was a parable. Jesus spoke in parables just so that not everyone would be saved -- at least not until their time. This was a way to filter out those with insight from those who did not. Even his disciples had difficulty understanding them, those whom he called. Yet.... in speaking them he did his duty telling the truth. To take a parable and establish an unbiblical doctrine is the very thing Jesus wanted them to do so that they'd stay blinded, i.e. his quote about not seeing or hearing.
2. People have trouble with the word "eternal". In the Greek it describes the action, not the continuous state of the so-called modified noun. For example, when people read "eternal fire", they think right away that the eternal is referring to the fire, and hence never goes out (so the reasoning goes that people must likewise never get burned up with it). What the word eternal is modifying is the action of the fire -- no coming back, no resurrection. Today, we would say "burned up forever".
I already used biblical language to describe the fate of a book I hated. Where did the book go? I said I burned it with eternal fire. The fire is not burning today, but rather it burned up the book forever. It now ceases to exist. It had eternal destruction and eternal damnation. No coming back.
And a point not relating directly to the bible: ECT is a pagan concept from Grecian and earlier societies just as heaven is (heaven is the abode of God, but it's coming to earth in the Kingdom). So I don't believe we go there when we die, either. Rather, we are resurrected to the Kingdom, here on earth-- the special called out ones called the church to rule and reign, or the rest of the people to be saved later. But heaven, hell, immortal souls and whatnot are the things made of pagan ideas and corruption of God's Word akin to scaring the kiddies with Krampus stories at Xmas time. No wonder atheists bash "Christianity". And the sad thing is, they are right in this case. No, there's no scary monsters under one's bed. But.... after given every chance, the Lord will destroy the truly wicked in a lake of fire and then renovate everything to be a new heaven and earth. That's the most righteous thing to do, i.e. to destroy all evil for the new heavens and earth.
TWO points to remember:
1. The sinner will permanently die, for the wages of sin is death.
2. The fire is how he's going to do it, and is not synonymous with the eternal state of death, rather the vehicle to bring one to that state, as opposed to torture, disease, devils pulling out one's fingernails or whatever Dante could imagine.