The Advanced Project Search window is split into two sections: the Search pane at the top, and the Results pane at the bottom.
The Search Pane
The Search pane displays standard fields and custom fields as searchable parameters.
Use the scroll bar at the bottom of the pane, to move to the right and see all related search fields.
The Results Pane
The search result will only show data matching the chosen search parameters.
The view of the columns can be modified in the Edit View window opened from the drop down menu in the upper left.
The amount of returned searches can be affected by the setting Maximum Hits When Searching, found in the drop down menu in the upper left.