remove() doesn’t actually delete elements from the container — it only shunts non-deleted elements forwards on top of deleted elements. The key is to realise that remove() is designed to work on not just a container but on any arbitrary forward iterator pair: that means it can’t actually delete the elements, because an arbitrary iterator pair doesn’t necessarily have the ability to delete elements.
For example, pointers to the beginning and end of a regular C array are forward iterators and as such can be used with remove():
int foo[100];
...
remove(foo, foo + 100, 42); // Remove all elements equal to 42
Here it’s obvious that remove() cannot resize the array!