Exclude terms from a taxonomy index of posts

I found this useful bit of code somewhere:

function list_posts_by_taxonomy( $post_type, $taxonomy, $get_terms_args = array(), $wp_query_args = array() ){
    $tax_terms = get_terms( $taxonomy, $get_terms_args );

    if( $tax_terms ){
        foreach( $tax_terms  as $tax_term ){
            $query_args = array(
                'post_type' => $post_type,
                "$taxonomy" => $tax_term->slug,
                'post_status' => 'publish',
                'posts_per_page' => -1,
				'orderby'=> 'title',
				'order' => 'ASC',
				'exclude' => array( 2, 179 ),
                'ignore_sticky_posts' => true
            );
            $query_args = wp_parse_args( $wp_query_args, $query_args );

            $my_query = new WP_Query( $query_args );
            if( $my_query->have_posts() ) {
			?>

                <h2 id="<?php echo $tax_term->slug; ?>" class="tax_term-heading"><?php echo $tax_term->name; ?></h2>
                <ul>
                <?php while ($my_query->have_posts()) : $my_query->the_post(); ?>
                    <li><a href="<?php the_permalink() ?>" rel="bookmark" title="Permanent Link to <?php the_title_attribute(); ?>"><?php the_title(); ?></a></li>
                <?php endwhile; ?>
                </ul>
                <?php
            }
            wp_reset_query();
        }
    }
}

It works a treat to list all terms in a taxonomy and all posts under each term, but there are a few terms that I don’t care to include. I inserted 'exclude' => array( 2, 179 ), into the $query_args array as “2” and “179” are the term ids in question, but this seems to have had no effect whatsoever.

Can someone tell me what I need to do to exclude these two terms from my results?