By default, Twenty Twelve shows excerpts, which strip out the HTML, when displaying search results. To change this, make a child theme, copy the file content.php
from the parent theme to the child theme, open the child theme’s copy of the file, and make the following edit:
On line 38, replace the code:
<?php if ( is_search() ) : // Only display Excerpts for Search ?>
<div class="entry-summary">
<?php the_excerpt(); ?>
</div><!-- .entry-summary -->
<?php else : ?>
<div class="entry-content">
<?php the_content( __( 'Continue reading <span class="meta-nav">→</span>', 'twentytwelve' ) ); ?>
<?php wp_link_pages( array( 'before' => '<div class="page-links">' . __( 'Pages:', 'twentytwelve' ), 'after' => '</div>' ) ); ?>
</div><!-- .entry-content -->
<?php endif; ?>
With:
<div class="entry-content">
<?php the_content( __( 'Continue reading <span class="meta-nav">→</span>', 'twentytwelve' ) ); ?>
<?php wp_link_pages( array( 'before' => '<div class="page-links">' . __( 'Pages:', 'twentytwelve' ), 'after' => '</div>' ) ); ?>
</div><!-- .entry-content -->
Save the file, upload it to your server, and you should be good to go.