I am renting a house for several years until building a new house.
I am living in a rental house.
Are these sentences correct?
Hello kumenglish, Yes, both are correct. Best wishes, Joseph
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kumenglishI am living in a rental house.
Fine.
kumenglishI am renting a house for several years until building a new house.
You may find a smattering of examples of 'until' with an -ing verb, but it's not very idiomatic in my opinion. What you have is passable, but I'd write this:
I'll be renting a