Use this css and add in theme options -> design -> custom colors -> custom css or in child theme. Help to add in custom css – http://help.wpresidence.net/article/how-to-add-custom-css/

Remove County/State

[id="a_filter_county"] {
display: none;
}

Remove Cities

[id="a_filter_cities"] {
display: none;
}

Remove Areas

[id="a_filter_areas"] {
display: none;
}

Remove Sort Order

[id="a_filter_order"] {
display: none;
}

Remove right border (for design consistency)

.listing_filter_select {
border-right: 0px solid #f0f0f0;
}

Original design/functionality

After removing cities or areas with CSS