Question re Settings/Integrations/Mailchimp

I connected my Pipedrive to Mailchimp (free) for newsletters and other notifications. I assumed, maybe incorrectly, that as I added names and emails to my Pipedrive that it would update Mailchimp and that unsubscribes were managed on the Mailchimp side. 

In my latest campaign I've noticed that the emails are not being updated. One of my contacts left their employer and I changed their email to another company. The email I sent out went to the old email address.

I'd like to use Pipedrive as the master location for the contact info. Is this possible while automatically updating Mailchimp?