function _update_post_term_count( $terms, $taxonomy ) {
	global $wpdb;

	$object_types = (array) $taxonomy->object_type;

	foreach ( $object_types as &$object_type ) {
		list( $object_type ) = explode( ':', $object_type );
	}

	$object_types = array_unique( $object_types );

	$check_attachments = array_search( 'attachment', $object_types );
	if ( false !== $check_attachments ) {
		unset( $object_types[ $check_attachments ] );
		$check_attachments = true;
	}

	if ( $object_types ) {
		$object_types = esc_sql( array_filter( $object_types, 'post_type_exists' ) );
	}

	foreach ( (array) $terms as $term ) {
		$count = 0;

		// Attachments can be 'inherit' status, we need to base count off the parent's status if so.
		if ( $check_attachments ) {
			$count += (int) $wpdb->get_var( $wpdb->prepare( "SELECT COUNT(*) FROM $wpdb->term_relationships, $wpdb->posts p1 WHERE p1.ID = $wpdb->term_relationships.object_id AND ( post_status = 'publish' OR ( post_status = 'inherit' AND post_parent > 0 AND ( SELECT post_status FROM $wpdb->posts WHERE ID = p1.post_parent ) = 'publish' ) ) AND post_type = 'attachment' AND term_taxonomy_id = %d", $term ) );
		}

		if ( $object_types ) {
			// phpcs:ignore WordPress.DB.PreparedSQLPlaceholders.QuotedDynamicPlaceholderGeneration
			$count += (int) $wpdb->get_var( $wpdb->prepare( "SELECT COUNT(*) FROM $wpdb->term_relationships, $wpdb->posts WHERE $wpdb->posts.ID = $wpdb->term_relationships.object_id AND post_status = 'publish' AND post_type IN ('" . implode( "', '", $object_types ) . "') AND term_taxonomy_id = %d", $term ) );
		}

		/** This action is documented in wp-includes/taxonomy.php */
		do_action( 'edit_term_taxonomy', $term, $taxonomy->name );
		$wpdb->update( $wpdb->term_taxonomy, compact( 'count' ), array( 'term_taxonomy_id' => $term ) );

		/** This action is documented in wp-includes/taxonomy.php */
		do_action( 'edited_term_taxonomy', $term, $taxonomy->name );
	}
}