For those of you interested in the
physics behind this question:
Consider that the Earth remains, overall, at an approximately constant mass, heat capacity and temperature. Hence, the energy input from the Sun must equal the energy that the Earth radiates in the form of blackbody radiation. Consider also that the Sun's energy comes primarily in the form of visible radiation (about 6,000 K), while the Earth's blackbody radiation is in the infrared (around 300 K). Since visible light is more energetic than infrared by about a factor of 20, we need to export many, many more photons than we get from the Sun in order to avoid burning up. But, in blackbody radiation, the entropy per photon is 3.60 k (this is indepentent of temperature, for reasons beyond the scope of this writeup - if you really want to know, msg me and i'll node the full explanation).
So, in essence, what this means is that we are exporting 20 times the entropy that we are importing from the Sun, and hence, that entropy on Earth is not required to increase with time.
Hooray for non-isolated systems!