How I know Jesus never healed or resurrected anyone.

If Jesus existed historically, had woo-woo powers over the human body because of his divinity, and used these powers to heal the sick and raise the dead, then I have an obvious question:

Wouldn't these treatments have stuck?

I mean, if Jesus had healed someone of, say, leprosy, wouldn't he also have healed this person proactively against all other diseases, including aging? It would seem rather cruel of Jesus to heal a leper, only for the patient to die later from cancer, kidney failure, the plague or something.

The same goes for Jesus' alleged resurrections. Wouldn't Jesus have spared Lazarus from having to die again, if he raised him from the dead in the first place because of his friendship with him?

I wonder about these questions, because we clearly don't see any of these people who received supernatural medical interventions from Jesus around now, which means that every last one of them must have died "off stage," so to speak, nearly 2,000 years ago.

Otherwise we would have to postulate that Lazarus in his deathless body still walks the earth in 2011 like a character from Highlander. Christians in my lifetime have put a lot of effort into trying to make the bible fit with our observable reality some how, hence the creationism and bible prophecy industries, which overlap to a large extent. (Christians who believe in one tend to believe in the other.) Yet I've never heard of an apologetic explanation for why all the people Jesus healed or resurrected have long since disappeared, unless Jesus' miracles come with a short-time warranty not mentioned in the gospels.