Yes, the software supports multiple device capabilities. It is required to mention the approximate number of devices you would probably use the software in while purchasing. It can also be verified through your Avast account. If you have exceeded your limit, you can even transfer your account subscription to a new device. This is done as follows-
Uninstall the software from your old device.
Install it on the new device you want to use.
And then, activate your subscription on it.