public function format_term_ids( $term_ids, $taxonomy ) {
		$term_ids = wp_parse_id_list( $term_ids );

		if ( ! count( $term_ids ) ) {
			return '';
		}

		$formatted_terms = array();

		if ( is_taxonomy_hierarchical( $taxonomy ) ) {
			foreach ( $term_ids as $term_id ) {
				$formatted_term = array();
				$ancestor_ids   = array_reverse( get_ancestors( $term_id, $taxonomy ) );

				foreach ( $ancestor_ids as $ancestor_id ) {
					$term = get_term( $ancestor_id, $taxonomy );
					if ( $term && ! is_wp_error( $term ) ) {
						$formatted_term[] = $term->name;
					}
				}

				$term = get_term( $term_id, $taxonomy );

				if ( $term && ! is_wp_error( $term ) ) {
					$formatted_term[] = $term->name;
				}

				$formatted_terms[] = implode( ' > ', $formatted_term );
			}
		} else {
			foreach ( $term_ids as $term_id ) {
				$term = get_term( $term_id, $taxonomy );

				if ( $term && ! is_wp_error( $term ) ) {
					$formatted_terms[] = $term->name;
				}
			}
		}

		return $this->implode_values( $formatted_terms );
	}