Windows License Validity after Restoration from Backup of Other Machine

I am working to restore 30 or so company PCs from a single "clean" backup image. They all came with Windows 7 Pro, and have product key stickers on the cases.

On the first machine, I formatted the disk, installed the OS and a few essentials, and then used software to make an image of the machine.
I'm using the same software to clone the image onto freshly formatted drives in the other machines.

They are booting fine, and Windows says that it is activated on each machine. I don't have an option to change the license, so am I to assume that they are using the correct license?

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