Scripts like this are probably being run by PHP (or similar server-side scripting language).
Doing so is a case of, on an apache server, adding something similar to the following in the .htaccess file:
RewriteCond %{QUERY_STRING} (.*)
RewriteRule ^trafficout/user/(\d+)$ some-script.php?%1&user=$1 [L]
What this is doing is looking for any requests for the above file, then passing in the query string ((.*)) and user id ((\d+)) into a php script.
What are %1 and $1 doing?
In a htaccess file %1 and $1 represent variables retrieved from RewriteConditions and RewriteRules. Specifically, %n represents any variables acquired from a %{QUERY_STRING} condition and $n repesents any variables acquired from rules. In both cases n represents the variable id. In the example above, there is one query string variable and one rewrite rule variable so both are 1.
For the script in your question, this will turn the second part of our rewrite rule into:
some-script.php?limit=10&user=300
How we get the variables from the query string etc is done via Regular Expressions, and is a WHOLE other topic that I am not going to go into right now.
The PHP script will then get the variables using $_GET or similar, for example:
$user = $_GET['user']; //bad example - no validation etc.
[L]?
This is a flag used to tell the server to stop processing any more rewrite rules.
No file extension
It is possible to call for a file without a file extension, as long as the script sets the correct content-type header, then the browser will process the returned file. In PHP, this would be done like:
<?php
header('Content-type: application/javascript');
And is sent before any content.
Google Ads
The original .js script is just a .js script. What the script is doing is generating an ajax call back to the Google Servers replacing local variables with whatever variables you have defined.