What happens to emails where both recipient and sender are invalid addresses?

I was wondering, what happens when an email gets sent to a recipient that's non existent, and the return address specified is also dead? Does it get bounced back and forth ifor many cycles before dying off?

I ask this because a spammer seems to have used my email as the return address. I'm thinking of disabling that account so it gets bounced in return when the recipient is also invalid. Will that do my server any harm?

Thanks,

 

 

 

 

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