I used a cast iron carrot cake recipe that I found online. For 45 minutes, 350° F is advised.
The toothpick came out clean after nearly an hour and a half. Fortunately, the sides did not burn; they appear to be very moist. However, I’m not sure why it took so long (I double-checked that the oven temperature was correct) and why, even though I used normal cake pans for a longer time than the recipe specifies, the sides did not burn at all.