If there are two parties and each person is in possession of something belonging to the other, how do you express this in a sentence? For example, if we give them names, we can say:
Alice is driving Bob's car, and Bob is driving Alice's car.
Is it proper to say this?
They are driving each other's cars.
I'm mostly asking because this is how I would probably say it in conversation (as a native speaker in the Midwest), but when I type it out it's suggested as a typo, and now it feels kind of weird thinking about it.