search widget issue

hey guys, trying to validation my xhtml strict site and getting the following error from the search widget. Note that I have multiple dynamic sidebars. It only seems to be happening on this widget as the other ones provide a ul in nested li’s.

document type does not allow element “li” here; missing one of “ul”, “ol” start-tag

here’s the offending code:

<li id="search-8" class="widget widget_search">
    <li id="search">
        <h2>
            Search</h2>
        <div id="searchform">
            <form method="get" action="https://192.168.10.128/wordpress/">
            <input type="text" value="" name="s" id="s" />
            <input type="submit" id="search-submit" value="Go!" />
            </form>
        </div>
    </li>
</li>

any thoughts on how to resolve this? thanks.