How to Prevent Bounced Emails from reopening tickets?

How to Prevent Bounced Emails from reopening tickets?

I am having an issue with bounced email messages reopening closed tickets. We are copied on a lot of automated notifications that are sent to customers that come from "noreply" type emails. Sometimes we have to address these notifications and we reply to the original notification email that is sent to us. 

Usually when we reply to the ticket, we are closing it at the same time. However, the "noreply" email gets included in the response and we receive a bounceback email that is sent directly to our zoho support email address. This causes the ticket to be reopened. 

Is there a way to prevent a certain email address from reopening a new ticket?  Or maybe a way to at least generate a new ticket?

I realize that we can manually remove the email address before we send our response, but I wanted to see if there was some way to automate this?