Are 'Lighthouse' and 'The Substitute' happening at the same time?

Bwanar February 25, 2010 User blog:Bwanar

I'm a bit confused since we see Kate midway after leaving Sawyer, and then MiB at the end, so I didn't quite understand is it going on at the same time or is 'Lighthouse' a bit later. When MiB comes to visit Claire at the end of the episode, is that in between him leaving the beach and recruiting Sawyer, or is it after he recruits Sawyer at the caves?

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