Can I have more than one property on a mortgage?

I am wanting to buy some homes to turn into rentals. I would like to have one mortgage covering all the properties, both so I can make a single payment to the mortgage and have a single balance to reference, but also because I have a credit card that will earn payments toward my mortgage and I'd like to get a business one that does the same and would address the mortgage on the properties.

1. Can this be done at all?
2. If so, would it also work if I add properties later on, or will it only cover ones purchased together at the same time?

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