For your information, they have the same principle. They mine the same digital currency using remote hardware.
But their difference is still big.
In hosted mining, the investment is very expensive, because of its mining hardware, and it will cost a lot of money.
That does not include the inevitable repairing mining equipment.
Cloud mining is the opposite of Hosted Mining. It's just that at this time it's not profitable like it was in 2017, but it can still be said that it's profitable based on my research.