Audio is sadly all too often treated as an afterthought these days, so it is really good to see someone who wants things to be better - so here we go with some options for you..
I'd begin by forgetting that such an abomination as 'Normalize' is even an option, as it is unlikely to do what you think it does whilst at the same time being very likely to seriously screw up your audio. This is because it usually works to peak levels, and because this takes account of transients (these are momentary peaks, often caused by something percussive in music or a sudden sharp sound in a film/TV episode) as the reference point the most common result is a feeling along the lines of 'Did that actually do anything?' - what it did was looked at the highest peak level, and raised everything from that point (including the noise floor) and creating a layer of DSP with all the usual quantization distortion and all for not very much audible level increase. Conversely, if you use RMS Normalization then the noise floor is also raised as the process is applied across the entire audio file's frequency response with little to no user control over what is happening.
No - please, I urge you, forget normalization. What you need to learn to love are compressors!
We will start with a youtube clip mainly because the OP is using Audition for the job
Dialogue Compression Tutorial
You'll notice that I am assuming it is smoothing out dialogue that you need to do - but if we are actually talking about music soundtracks then you'll need a different approach, as what works well on dialogue is probably not going to be optimal for musical content, so I am going to stop right here for the moment, and wait for your response before getting down to the meat of the subject as I don't want to give you a whole bunch of information on dialogue optimization only to find out it's something entirely different in your clips.
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