gistfile1.txt

add_filter( 'propertyhive_taxonomy_hide_empty_args', function( $args, $field, $term_id ) {
    if ($field['type'] == 'location')
    {
        // Make sure 'tax_query' exists
        if ( !isset( $args['tax_query'] ) ) {
            $args['tax_query'] = array();
        }

        // Add condition to exclude properties where 'availability' taxonomy term is 'Sold'
        $args['tax_query'][] = array(
            'taxonomy' => 'availability',
            'field'    => 'slug',
            'terms'    => array( 'sold' ),
            'operator' => 'NOT IN',
        );
    }
    return $args;
}, 10, 3 );