CPT + 2 custom taxonomies archive

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

    $post_types = array(
        'events' => 'events'
    );

    $taxonomies = array(
        'solutions'
    );

    $taxonomies_2 = array(
        'event_type',
        'category',
        'post_tag',
        'service_line'
    );

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

    if(!empty($parts[1]) && !empty($post_types[$parts[1]])) {
        // Get post type
        $post_type = $post_types[$parts[1]];

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

        // Get term #2
        if(!empty($parts[3])) {
            $term_2 = $wpdb->get_row($wpdb->prepare("
                SELECT * FROM {$wpdb->terms}
                LEFT JOIN {$wpdb->term_taxonomy} ON {$wpdb->terms}.term_id = {$wpdb->term_taxonomy}.term_id
                WHERE slug = %s",
                sanitize_title($parts[3])
            ));
        }


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

            // Add second term
            if(!empty($term_2) && in_array($term_2->taxonomy, $taxonomies_2)) {
                $request['taxonomy_2'] = $term_2->taxonomy;
                $request['term_2'] = $term_2->slug;
            }

            // Support pagination
            if(!empty($parts[4])) {
                $request['paged'] = $parts[4];
            }
        }
    }

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

function pm_pre_get_posts($query) {
    if(!empty($query->query['taxonomy_2']) && $query->is_archive) {
        $tax_query = array(
            'taxonomy' => $query->query['taxonomy_2'],
            'terms' => array($query->query['term_2']),
            'field' => 'slug',
            'operator'=> 'IN'
        );

        $query->tax_query->queries[] = $tax_query;

        $query->query_vars['tax_query'] = $query->tax_query->queries;
        $query->query_vars['tax_query']['relation'] = 'AND';
    }
}
add_action('pre_get_posts', 'pm_pre_get_posts', 99999);