Sure thing. Here is a simple recipe for vegan mayonnaise.

--Ingredients--
Soy Milk
Mustard
Salt
Sunflower Oil
Lemon Juice (Or vinegar)

--Steps--
1. Pour the soymilk, mustard and salt into a bowl and mix it  
2. While mixing on the maximum setting, slowly pour in the oil
3. Mix until a creamy consistency is reached
5. Put in a splash of the lemon juice or vinegar and mix another time
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