Deactivate facebook question?

[Ashlee]

Someone told me they deactivated their Facebook. I went to their cousins Facebook which is private and it still says that we have one mutual friend. I can't see the friend as their cousins Facebook is private but does their facebook still linger? A friend told me that it will still say I have a mutual friend even though its been deactivated. I don't have any other mutual friends with the cousin.