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You can't do that anymore with the new code. Now, the webmaster is forced to pick either "sites I select" or "the entire web". That choice has been taken away from the searcher. That's why I don't use it. Another case of breaking something that worked just fine. Not "improved" at all, as I see it.
Now, for the searcher to have the same functionality, the webmaster would have to place TWO search boxes right next to each other - one for onsite, and one for "the web". This is not likely, because it would look daft. And how would the user know the difference, since all 6 options just say "Custom Search"?
[edited by: Sally_Stitts at 6:17 pm (utc) on Jan. 24, 2009]
The new code doesn't work with IE 6. Links won't open.
If you guys are talking about the new search box that has the background image in it of Google, then mine works fine in IE6/SP2.
I just tested the links on the search results page, they all worked fine.
Martinibuster - Are you using the old search results page with the new search box? That could cause problems from what I have seen.
Most folks did not view it as a handy feature, but rather something they never used. I guess it is just as easy or easier to hit your bookmarked Google home page button in the browser, or simply use your search box that is already embedded in your browser.