Students are not allowed running along school corridors.
Students are not allowed to run along school corridors. (allow + to inf.)
Few people choose spending their time taking exercise.
Few people choose to spend their time taking exercise. (choose + to inf.)
The internet means that we spend more time sitting at home, but we cannot imagine to live without it.
The internet means that we spend more time sitting at home, but we cannot imagine living without it. (imagine + vb -ing)