How do I see a list of the people I Invited to join the mailing list
Inviting people to join your list is polite, but not very effective. See How do I subscribe somebody to my list through the Confirmed Opt-in process?
The problem is that people do not recognize your invitation email for many reasons, including the fact that they are not looking for it, it went into their spam folder, etc. And unless they reply, they don't get on your list.
Log in to your mailing list and click on Get Reports
Select Awaiting Confirmation Reply
Select which moderator to send the reports back to
The report will come back in the email and look like this
For best results, email these people an individual private message asking if they want to join
If they say yes, add them directly to your list