Gripe with E-Mail notification rules.

I have tested this on both, our live server 7015 and the test server 7504 with the same result.

We have rules set up to send an email to our group for when a new request is logged and assigned to our group. Also an email rule for when a request is assigned directly to a technician. This, I understand, will generate 2 emails, annoying but that I can live with. here's the annoying bit - there are certain calls that are resolved right on the phone within one minute (password resets and the like) so the call is entered directly as closed with all information. The system STILL generates an email that goes out the group saying "xxx call added to group: status is Open"

Is there a way so when a call is enetered directly to closed the system can recognize this and not generate the email?

Thanks