Audition does have a filter for voice removal, however I haven't really tried it and don't know how effective it is ... I am at work and don't have the program in front of me and am brain farting on it's location ... Go to the effects tab and look for it in noise removal ... If you can't find it look in the help file .......... WILLIE
You want the Centre Channel Extractor in the Filters menu (introduced in Audition 1.5) which will either remove vocals quite effectively from the centre while leaving the stereo image intact - which is the big advance from the "traditional" methods - or it will leave the vocal and remove everything else, which is a totally new trick. It's not perfect however - results depend on material, and some phasiness can result - but it's probably ahead of any other solution unless you spend a fortune.