SSL / IP Addresses

When someone gets their own SSL Cert, does it need to be assigned to a specific IP address?

Right now - we are own a shared server. We did not have our own IP address until we got our SSL cert. Then I noticed that we did. But the SSL cert is issued to www.yourdomain.com, not 123.123.123.123, right?

What, if any, would be the problems of having 3 domains with SSL certs on them on the same IP address?

Thanks!

 

 

 

 

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