Does SVG supports complex logos?

I have created a complex 3d style logo with transparency and other effects in adobe illustrator and later save as SVG file format. However, due to complexity of the logo illustrator or SVG failed to produced a perfect images. Now, I want to know that does SVG supports 3D & complex shapes or it should only be used for 2D images? and does it supports transparency & other effects or would it be better to avoid these things?