I've definitely been there. On your bill you'll see any outbound long distance calls made but there wouldn't be visibility of inbound calls. If the phone set isn't showing the details of missed calls I'm unfamiliar with any alternative options. Perhaps someone in the community could weigh in with their experience?
On your hand set look for a button labelled CID. It may be part of a selection or navigation key. Press that button. Now you are in the Missed Calls List and you can move up and down in the list using the navigation keys on the Handset. Handsets will have different mechanisms for this. Once you are on a missed call that you want to delete you will see an erase option on the handset screen. Press the select button to erase it. You will then get a message
Erase ? Yes No. Using the navigation button navigate to Yes then select it and the message will erase.