Take Message Boards portlet for example:
1.Add Search portlet and Message Boards portlet to a page.
2.See the configuration of Search portlet. Make sure "view in context" is checked.
3.Post some new threads in the Message Boards portlet.
Name the threads "test post 1", "test post 2" and so on.
4.Search for "test" in the Search portlet and click "test post 1" from the results.
We can see that "test post 1" is shown in Message Boards portlet while Search portlet within the same page is still showing the search results.
Since Message Board portlet is showing a result, it will be better if search results in Search portlet are cleared up.