Because I don't fully understand what needs to change, here's my best attempt*, using a mashup of other answers and resources online.
// the original url
// will most likely be window.location.href
var original = "http://example?variables1=xxxx&example&variables2=yyyyy";
// the function to pull vals from the URL
var getParameterByName = function(name, uri) {
name = name.replace(/[\[]/, "\\\[").replace(/[\]]/, "\\\]");
var regexS = "[\\?&]" + name + "=([^&#]*)";
var regex = new RegExp(regexS);
var results = regex.exec(uri);
if(results == null) return "";
else return decodeURIComponent(results[1].replace(/\+/g, " "));
};
// so, to get the vals from the URL
var variables1 = getParameterByName('variables1', original); // xxxxx
var variables2 = getParameterByName('variables2', original); // yyyyy
// then to construct the new URL
var newURL = "http://" + window.location.host;
newURL += "?" + "variables3=" + variables1;
newURL += "&example&"; // I don't know what this is ...
newURL += "variables4=" + variables2;
// the value should be something along the lines of
// http://example?variables3=xxxx&example&variables4=yyyy
*All of which is untested.