Not sure what "edit distribution list" has to do with it. You export a group of email addresses by selecting the group, NOT clicking on any of the individual cards, and selecting File > Export... > Export vCard...
If you have done it right, the file name offered will be something like "John Jones and 99 others."
Thank you for your help. To answer your question about why the distribution list...According to Apple Help, I need to choose emails from the distribution list for that group. I was able to export the group to my documents, but I'm still not able to get it to the evite website to mannually load them. If I had yahoo, hotmail or gmail I could export them directly,but since I don't I have to do it mannually.
Edit Distribution List is only needed when one or more of the users on a given distribution list has multiple email addresses (perhaps home and work email). It lets you choose which email to use for each user.
You said you were able to export the group to a group vCard but were "not able to get it to the evite website to mannually load them." You'll have to explain that a little more, since I don't use any evite website. What exactly did you try and what happened?