We don't have a Toolset API hook covering this, but you can use the standard WP get_terms filter, checking that you are on the right page (i.e. you'll need the ID of the page—or pages—where this View is inserted), and you'll also need the slugs of the terms you want to exclude.
<?php
/**
* Filter terms available in a Views taxonomy filter
*/
function tssupp_get_terms( $terms, $taxonomies, $args, $tax_query ){
global $post;
if ( in_array( $post->ID, array( 113 ) ) ) { // Edit page ID
$exclude = array( 'active', 'complete' ); // Slugs of terms to exclude
foreach ($terms as $key => $term) {
if ( in_array( $term->slug, $exclude ) ) {
unset( $terms[$key] );
}
}
}
return $terms;
}
add_filter( 'get_terms', 'tssupp_get_terms', 10, 4 );