So, I've been playing since Destiny came out, I pre-ordered my copy 2 years ago just eagerly anticipating me using Closing Time (Patience and Time, now it's called) or any other exotic, I have many bounties per day, and seen my friends get these exotic bounties. When all I get is nothing, I just want to know how to get one of these illusive tasks.
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Get your vanguard rep to level 2 and turn in 4-5 completed vanguard bounties at once. Then just wait for RNGesus to bless you.