There are many emails I am not receiving until I delete some old emails.
Hello Danny, eM Client doesn’t really include any limits like this that would allow you to synchronize a certain number of items only. What mail service are you using with eM Client? What version of eM Client are you currently using on your computer, can you please check the exact release number in Help > About?
Are you seeing any errors thrown by the application? If so, can you make a screenshot of the error and submit it to us here on the forum?