Tax combination archive

function pm_detect_tax_combination( $request ) {
    global $wp, $wpdb;

    $taxonomies = array(
        'fuel',
    );

    $taxonomies_2 = array(
        'manufacturer'
    );

    // Parse the URI
    // URL Format: taxonomy_term/taxonomy_2_term
    preg_match( '/^([^\/]+)(?:\/([^\/]+))?(?:\/page\/([\d]+))?/', $wp->request, $parts );

    if ( ! empty( $parts[1] ) && ! empty( $parts[2] ) ) {
        // Get term #1
        $term = $wpdb->get_row( $wpdb->prepare( "
            SELECT * FROM {$wpdb->terms} AS t
            LEFT JOIN {$wpdb->term_taxonomy} AS tt ON t.term_id = tt.term_id
            WHERE t.slug = %s", sanitize_title( $parts[1] ) ) );

        // Get term #2
        $term_2 = $wpdb->get_row( $wpdb->prepare( "
            SELECT * FROM {$wpdb->terms} AS t
            LEFT JOIN {$wpdb->term_taxonomy} AS tt ON t.term_id = tt.term_id
            WHERE slug = %s", sanitize_title( $parts[2] ) ) );

        // Filter the query if both post type & term were found
        if ( ! empty( $term ) && in_array( $term->taxonomy, $taxonomies ) && ! empty( $term_2 ) && in_array( $term_2->taxonomy, $taxonomies_2 ) ) {
            $request = array(
                $term->taxonomy   => $term->slug,
                $term_2->taxonomy => $term_2->slug,
                'do_not_redirect' => 1,
                'new_canonical'   => 1
            );

            // Disable inbuilt canonical redirect
            remove_action( 'template_redirect', 'wp_old_slug_redirect' );
            remove_action( 'template_redirect', 'redirect_canonical' );

            // Support pagination
            if ( ! empty( $parts[3] ) ) {
                $request['paged'] = $parts[3];
            }
        }
    }

    return $request;
}
add_filter( 'request', 'pm_detect_tax_combination', 99 );