Hello & Welcome to JustAnswer.
It seems like your AOL account on the Apple Mail is setup as the account type POP
which doesn't sync in real-time with your mailbox.
To make it reflect same changes in both places, this needs to be changed to IMAP.
Would you like me to remotely connect to your system to do this for you?
Please change as suggested
The change needs to be done on Apple Mail
Please click the link below and open the downloaded program so i can connect to change it
You appreciate that I am getting more mail on apple mail than I get on AOL?
I will need to check this what the issue is, if you have more then one account configured on Apple Mail then you're getting mails from other accounts too on it. Please click the link below and open the downloaded program.
I have only one apple mail account - some of the messages I find there are definitely for me.
Rather ALL of the messages are for me.
I will need to check this to tell you what is causing it, and fix it. Can you connect with me?
to connect with me, click the link below and open the downloaded program
Program is downloaded, can you open it
The issue appears to have been fixed, however if you have any questions or confusions reply me here. Thank you