These Search Box controls allow you to control the sort order of columns and the removal of columns.
If you click once on a column label, the label will display two arrows, as shown in this example for the Display Name column label:
The Column Sort and Removal controls look like this example:
The Sort Ascending and Sort Descending options work identically as the sort arrow described above: they sort the contents of the column in an ascending or descending sort order.
Clicking on the Columns option brings up the Column Removal dialog:
To remove a column from the Search Configurations edit view, uncheck its name in the Column Removal dialog. You can restore a removed column by displaying the Column Removal dialog from an existing column label and checking the column name.