Have you noticed the absence of green in most of famous photographer's photos? They started this trend that nowadays is seen everywhere.
Why? Because green is a very powerful colour that captures our attention, and sometimes we don't want this.
Imagine that you take a photo of someone in a beautiful landscape, but you want this person to be the main character of the picture. Usually landscapes have green on them, so probably the attention is going to be focused in this vibrant colour before than in our model. To correct this, we can just desaturate all the green tones, achieving an incredible and very pretty result. Other variant that I love is to modify this tones and convert them to yellow and orange tones, they always fit very good in all kind of pictures!
But we should not abuse of these techniques. Green is a very beautiful color, which often looks very good in our photographs, and it's a pity that we make it disappear. A good photographer always knows when to do it.