Earlier quoted context omitted.
At the same time, everybody seems to accept that the chance of getting cancer in your lifetime has risen to about one in three for men and one in five for women. And nobody knows why. Because life expectancy has also risen; people who used to be dying of other things are now living long enough that cancer is more common.
Unfortunately the hunch you have just spendt 30 seconds thinking about is sadly incorrect. The increase in life expectancy doesn't account for the increased incidence of cancers. There are other factors at play, which need to be investigated (some that we know: obesity, pollution, cigarettes).
"In other words, the individual incidence of cancer deaths has actually fallen."