Hey guys, I've been on the same problem for the past 5 days now and I dont seem to be able to find a solution. Whenever I try to play Multiplayer it gives me the notice "you are missing one or more DLC packs", I'm on ps4 so i check on the information on the main menu while COD MW is highlighted and I find that I'm missing multiplayer 2 pack along with others.
Campaign pack and then the campaign/special ops compatibility pack. Not sure on PS5 file sizes but the former is 9gbs and the latter 22gbs. The devs combined a few packs together. You should be good to go after that.
I am encountering the exact same problem. I download the game and played for a bit. Then if I close out the game and return the games are all locked and says to buy MW3.
In your games list, focus on a game, press the Menu button on your controller, select Manage game and add-ons, select the game box in the upper right corner of the screen, then choose Manage installation on [drive name]. This will show a list of items including the base game and any available add-ons or game features.

As soon as I heard the servers were live for PS4, my friends and I jumped on but whenever I hit select on multiplayer the game says Im missing the Add-on, yet I've had it installed and preloaded before hand. As per the title I have installed it 3 times now and it still says "You do not own or are missing the Multi Player DLC pack.

I got Modern Warfare for Christmas. I have 2 campaign packs, 2 multiplayer packs, and 1 special op/ co-op pack. When I open the game it says that I am missing data packs to play any of the modes. Whenever I click on the download option it takes me over to buy vanguard.
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call of duty modern warfare multiplayer pack ps4