Agent having separate website

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Hey everyone, I'm about to take my real estate licensing test and I'm starting to look into what it would take to be successful once I am licensed. I'm wondering if real estate agents in Connecticut are able to have their own websites, or if they can only operate under their broker's website. I checked the law book, but all it says is that the salesperson can't advertise properties as being in their own name and that Internet advertising of any kind has to include the broker that the agent is affiliated with. I couldn't find anything more specific than that.