I just always go to tools and then internet options and then clear history. I'm sure if someone really wanted to find them he could but it at least clears them .
That won't work within the website itself. It will clear websites visited.
But when I go back to Local.com and type ina new search for example
Here's the way it's listed:
Type of business------------- (i type in dry cleaners)
Where located----------------(i type in the area code)
All the searches remain WITHIN the website as previous searches, even if clearing history.