Simple licensing query for staging and live sites

I intend to use/update two purchased extra extensions: (Specifically: ‘Groups Restrict Categories’ and ‘Groups File Access’).

My query is a common requirement, which is to use a license key whilst developing a site on a staging server, and then transfer the license key over to the live domain at ‘go live’. Will this work? I only ever need one site to work at any given time on one given domain (Can I remove the license key from a dev site and then enter the same key on my LIVE site) ?

Many thanks
Walter Cain