When you click the button to manage your search profiles you'll be sent to the search profile dashboard. In this dashboard, you will see your full searches at the top and the quick searches at the bottom. All the searches that are deactivated are shown in lighter gray and have a green 'enable' button under 'Manage'.
Every search has a couple of icons behind its name. 'Networks' clarifies if the search is just on Twitter or on both Twitter as non-social pages. 'Languages' shows the chosen language filters as national flags. If there aren't any filters selected this section will say any. Under 'Manage' you can choose to delete the entire search or enable/disable the search.