To elements from the filters you must add the below custom CSS in Theme Options > Design > Custom CSS.

Remove Types
.dropdown.listing_filter_select.filter_action_category {
display: none;
}

Remove Categories

.dropdown.listing_filter_select.filter_category {
display: none;
}

Remove States
.dropdown.listing_filter_select.filter_county {
display: none;
}

Remove Cities
.dropdown.listing_filter_select.filter_city {
display: none;
}

Remove Areas
.dropdown.listing_filter_select.filter_area {
display: none;
}

Remove Sort Order
.dropdown.listing_filter_select.order_filter {
display: none;
}

Remove right border (for design consistency)
.listing_filter_select.listing_filter_views.grid_filter_wiew {
display: none;
}
.listing_filter_select.listing_filter_views.list_filter_wiew {
display: none;
}

Help article about how to add custom CSS

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