Custom post type + taxonomy archive

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

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

    $taxonomies = array(
        'solutions'
    );

    // Parse the URI (name_of_post_type/taxonomy_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
        $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])
        ));

        // 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,
            );

            // Suport pagination
            if(!empty($parts[2])) {
                $request['paged'] = $parts[2];
            }
        }
    }

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