Hello,
Since both the select boxes are bound to the same data source you can write the client side javascript function similar to one shown below to delete the items.
function removeItem() {
var s1 = document.getElementById('s1');
var idx = s1.selectedIndex;
if (s1 && idx > -1) {
s1.remove(idx);
var s2 = document.getElementById('s2');
s2.remove(idx);
}
}
Regards,