Undeliverable Emails - Remove emails from Contacts MASS Update?

[khopper]

We recently ran an email campaign and got back a lot of undeliverable emails.
Is there a way for the ESPO system to automatically remove these emails from the Contacts or mark as bad?

I have enabled MailChimp and entered the API key - I'm just trying to figure this all out.
When configured with MailChimp does the email get sent from the ESPOCRM server or does it go out through MailChimp?