Rewrite permalink to include multiple taxonomies

function custom_rewrite_rules() {
 add_rewrite_rule( '^art-classes/([^/]*)/([^/]*)/?$',
                 'index.php?product_cat=$matches[1]&location=$matches[2]',
                 'top' );

}
add_action('init', 'custom_rewrite_rules');

The $ at the end did the job. Not sure why.

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