How to clear aged or old events or problems

In your screenshot there are no aged problems. All the problems are existing at the moment. The age column only shows since when the problem exists. More important is the “checked” column as this shows the last time the service was checked. In your case the “Check_MK Discovery” service looks like it had a very long check interval as the date for the last check is already shown as absolute time not as a relative time.

If you want to filter problems checked longer than X hours ago then you can do this with the filter options for this view.