When an alias is updated, EasyLink will not update the new alias path because the link is hardcoded into the html:

The way to get around this so that it will refer to the mode number for the page alias instead is use something like this (used by another CMS which works great at keeping links from being broken links)

[easylink node='3' title='link text'] or maybe in php tag...

with something like that which will probably need coding to refer to what node 3 is on the spot and convert it into the alias path...