Editing the search properties is not enabled in the out-of-the-box reports (Advanced searches).
The out of the box reports (advanced searches) are samples that are protected and the search properties cannot be changed. The reports can be run and the results will be returned to the screen. Exporting the results to csv is also available. However, the ability to edit the search properties is not enabled.
Changes to the out-of-the-box saved reports can be enabled by choosing the 'save as' button and making a copy of the report. This will enable the user to make a copy of the search and perform the required changes. Please note that the original search will not be affected by these changes.