Redox is complicated to just "explain" if you know what I mean. Yes, redox is responsible for corrosion of metal but it also takes place in sand beds, waste water, etc. For example, anaerobic conditions results in reduction (no oxygen present). Aerobic conditions result in oxidation. When H's get attached to molecules, this is reduction. However, elements like sulphur are also capable of oxidation (S is just below O in the periodic table).
In the case of organic molecules, oxidation tends to be prefered. Reduction of carbon leads to CH4 (methane) [bad!] whereas oxidation leads to CO2 (carbon dioxide = harmless) [good!]
Back to sand beds: (assuming everything said about deep sand beds is true) reduction converts the dead animals to NH3. Oxidation will start to knock off the H and replace them with O. This is good because, as we all know nitrate (NO3) is safer than nitrite (NO2) which is safer than NH3 (ammonia)! Whew!
Hydrogen sulphide smells bad! It's a reduced form of SO3 (which isn't really good, either).
I don't even know if I'm answering your question. I guess, in short, reduction is good for some things while oxidation is good for others.
Oxidation removes excess nutrients. Generally you get rid of things by oxidation.