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Halve the avocados, remove the pit and squeeze the flesh put into the bowl of your food processor or blender.
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Add the milk, heavy cream, simple syrup, and lime juice.
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Process until smooth. Transfer to a bowl.
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Cover with plastic wrap, making sure the wrap touches the top of the mixture.
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Place in the refrigerator for at least 3 hours or overnight.
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Add the mixture to your ice cream maker and process according to the manufacturer's instructions.
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When the mixture has reached soft-serve consistency, Fold in the pistachios.
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Transfer to a freezer-proof container and freeze until hard, about 2 hours.
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Scoop into bowls, Sprinkle with extra pistachios and serve.