The date doesnt always advance when it should. It seems to only advance properly if you are either 'sleeping' at a safe house or if you are in the game when the time changes to the next day but there seems to be many times when it still doesnt advance to the next day, such as missions that advance the time do not make the day change). You can disable showing the date in the 'Configuration' section of the LUA file.
For some reason the starting date of the game seems to be 2009, even though the game should be taking place in 2013. I've added an option in the 'Configuration' section of the LUA that will add 4 years to the displayed year to make it start in 2013. It does NOT change the actual date in the game, just modifies what is shown.
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