You can freeze an un-iced carrot cake for up to 3 months, well-wrapped in clingfilm. Carrot cake is very forgiving. As an oil-based cake it's very easy to throw together without much advance warning.
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10. The carrot cakes should be ready, ease out with a palette knife by running around the edges of each cake. Then place cooking rack on top of the muffin tin and flip out so they cool properly.