So the others are connected with the Dharma initiative if they brand themselves with a symbol related to scientology. The brand on Juliet's skin is supposed to remind her where she belongs and who owns her. She will forever be a part of them and now she can't escape it. The symbol on the tree was supposed to help her find the case, but it also reminds her of where she belongs and the orders she must follow. That is a good catch folie good job.

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Because all we really need to survive is one person who truly loves us. And you have her.