Can you solve this riddle?

Alice is walking throughout the forest of forgetfulness. She wants to know what day of the week it is. She stops and asks a lion and a unicorn. Now, the lion lies all of the time on Monday, Tuesday and Wednesday. The unicorn always lies on Thursday, Friday and Saturday. When Alice asks the lion what day it is, he says "Well, yesterday was one of my lying days." Alice can't figure it out just from the lion's answer so she asks the unicorn and the unicorn says, "Yesterday was also one of my lying days." What day is it?

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