The Alpha showed me, that I have no change against all the FPS 24/7 players in PvP.
Do you think the game is playable without doing any PvP? Some weapons in the Tower where only buyable with a specific PvP rank. Are there equal powerfull weapons withou PvP. Do you level in singleplayer/COOP at the same speed as with PvP?
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Don't worry, if you don't want to spend much time in The Crucible then you don't have to. There are hundreds of thousands of weapons, you'll find a good one while patrolling.