If you like to get the links suggestion inside your side box, just modify absolute to relatvie in the css file as :

/*----------------------------Suggest Styles--------------------------*/
.suggest_link {
background-color: #FFFFFF;
padding: 2px 6px 2px 6px;
}
.suggest_link_over {
background-color: #3366CC;
padding: 2px 6px 2px 6px;
}
#search_suggest {
position: relative; //absolute;
background-color: #330099 //#FFFFFF;
text-align: left;
border: 0px solid #330099 //#000000;
}
/*----------------------------End Suggest Styles------------------------*/

see how it happens in my site www.e-modelisme.com

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