Index: wp-content/themes/twentytwelve/functions.php
===================================================================
--- wp-content/themes/twentytwelve/functions.php	(revision 21514)
+++ wp-content/themes/twentytwelve/functions.php	(working copy)
@@ -316,7 +316,7 @@
 	// Translators: 1 is category, 2 is tag, 3 is the date and 4 is the author's name.
 	if ( '' != $tag_list ) {
 		$utility_text = __( 'This entry was posted in %1$s and tagged %2$s on %3$s by %4$s.', 'twentytwelve' );
-	} elseif ( ! empty( $categories_list ) && twentytwelve_is_categorized_site() ) {
+	} elseif ( $categories_list && twentytwelve_is_categorized_site() ) {
 		$utility_text = __( 'This entry was posted in %1$s on %3$s by %4$s.', 'twentytwelve' );
 	} else {
 		$utility_text = __( 'This entry was posted on %3$s by %4$s.', 'twentytwelve' );
@@ -343,7 +343,7 @@
 		'hide_empty' => 1,
 	) );
 
-	if ( is_wp_error( $non_empty_categories ) || empty( $non_empty_categories ) || count( $non_empty_categories ) < 1 )
+	if ( is_wp_error( $non_empty_categories ) || empty( $non_empty_categories ) || count( $non_empty_categories ) < 2 )
 		return false;
 
 	return true;