The double meta refresh is a way or redirecting people based on referrer rules ... well at least as shown in this example in the other thread i mentioned.
Because the traffic might not be real traffic because you cookiestuffed your visitors ;-) ... which means that this appears as a click in the affiliate network stats (which is traffic ... but no traffic LOL) ... if you have real traffic though than it does not matter and you are fine and you do not need to worry about that.
What do you try to accomplish with the redirecting?
To sum the redirect thing up for you ... there are basically 5 ways of redirecting:
1.) Meta-Refresh
<meta http-equiv="refresh" content="5; URL=index.html">
2.) .htaccess-Redirect
# Redirect-example
Redirect permanent /file.html
hxxp://www.domain.com/whatever/file.html
3.) PHP-Redirect
<?php header('Location:
http://'. $_SERVER['SERVER_NAME'] .'/'); ?>
4.) Perl-Redirect
#!/usr/bin/perl
$location = "http://www.domain.com/";
print "Status: 302 Found\n";
print "Location: $location\n";
print "URI: <$location>\n";
print "Content-type: text/html\r\n\r\n";
5.) JavaScript-Redirect
<script type="text/javascript">
<!--
window.location.href = "redirect.shtml";
//-->
</script>
P.S. there are a couple more useful htaccess redirects though ... but a quick google search will reveal all of them ;-)