Should these two indexes suggested by the SSMS missing index feature be combined?
Well, you could consider a filtered index - if you're always looking for rows where IsSynchronized = 0 and this number should be relatively small, then instead of those two indexes, consider this instead:

CREATE NONCLUSTERED INDEX [IX_NotSynchronized] 
  ON [dbo].[PackageEvents] ([PackageID])  
  INCLUDE ([EventDate], [EventDescription], [EventID], 
    [LastSyncDate], [Notes], [UserName], [Version]) 
  WHERE IsSynchronized = 0;


Of course you may want to make that even smaller and test to see the difference in impact if the query has to look up the data (should be pretty efficient if the number of rows is small), so - assuming PackageID is the clustering key:

CREATE NONCLUSTERED INDEX [IX_NotSynchronized] 
  ON [dbo].[PackageEvents] ([PackageID])
  WHERE IsSynchronized = 0;


The overhead of maintaining this index may very well be worth the space savings compared to a full index, especially if it's only being used to optimize this query (or query pattern, at least).

Filtered indexes are not magic, though; JNK brought up some limitations below:


  Caveats with filtered indexes - stats may not stay up to date without maintenance, and you need to use "standard" values for some settings like QUOTED IDENTIFIER and ANSI NULLS. These are small issues but if you have the settings wrong in a session that inserts into the index, the insert will fail.


Also you'll want to read these posts:


How filtered indexes could be a much more powerful feature
Optimizer Limitations with Filtered Indexes
An Unexpected Side-Effect of Adding a Filtered Index




If you don't want to use a filtered index, you can probably test variations of these:

CREATE NONCLUSTERED INDEX [IX_Covering_try1] ON [dbo].[PackageEvents] 
  ([PackageID], IsSynchronized)  
INCLUDE ([EventDate], [EventDescription], [EventID], 
  [LastSyncDate], [Notes], [UserName], [Version]);

CREATE NONCLUSTERED INDEX [IX_Covering_try2] ON [dbo].[PackageEvents] 
  (IsSynchronized, [PackageID])  
INCLUDE ([EventDate], [EventDescription], [EventID], 
  [LastSyncDate], [Notes], [UserName], [Version]);


(For a long time I thought that including BIT columns in the key was wasteful but Martin Smith demonstrated a case where it worked quite well - worth a try. I can't find the post now.)

Without your full schema, data, query patterns etc. we can only guide you and have you test our suggestions in your environment. We can't say, "Ding! This is the one that will work for you!"