That is terribly over simplified. Local decreases in entropy can occur if external energy is supplied. The external energy source will experience a local increase in entropy. Entropy can also be 'held off' from happening, it does not need to occur immediately. Here is a short explanation
In the case of Earth we receive very low entropy energy (visible light (the higher the frequency the lower the entropy)) from the sun and radiate out (disperse) a lot of high entropy energy (infrared light) from our back side. Some of the conversion of low entropy to high entropy energy takes place within biological organisms who take already low entropy energy, use part of it to decrease our local entropy even further then 'express' higher entropy waste energy, usually in the form of heat. The lower the entropy in the energy biological organisms receive the less high entropy energy is produced (meaning it is easier to decrease local entropy).
This is the level of thinking I referred to as pig ignorant. I am unapologetic.
I am waiting for one of these geniuses to tell me how evolution differs from other life processes in terms of thermodynamics.