functions.php

<?php

/**
 * Dont display low share counts
 *
 * @author Bill Erickson
 * @see https://www.billerickson.net/code/shared-counts-remove-low
 *
 * @param array $link
 * @param int $id
 * @param string $style
 * @return array $link
 */
function be_shared_counts_remove_low( $link, $id, $style ) {

	if( 'included_total' !== $link['type'] )
		return $link;

	$minimum_share_count = 100;
	$count = shared_counts()->core->count( $id, 'included_total', $echo = false, $round = false );
	if( $count < $minimum_share_count )
		$link['count'] = 0;

	return $link;
}
add_filter( 'shared_counts_link', 'be_shared_counts_remove_low', 10, 3 );