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c# - Combine two lists with linq

I have two lists:

    var myIds = new List<int>()
        {
            1, 2, 3
        };

    var yourIds = new List<int>()
        {
            2, 3, 4
        };

How could I combine the two lists into one. The new list would look like this:

Id    Mine     Yours
---------------------
1      T         F
2      T         T
3      T         T
4      F         T

Both contain integers and vary only in name. I thought about creating two additional lists with a property that represented the name of each list, but I'm sure there is a better way.

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myIds.Union(yourIds)
.Select(x => new 
             { 
                 Id = x,
                 Mine = myIds.Contains(x), 
                 Yours = yourIds.Contains(x)
             });

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