Okay, Mosh, sir, I just checked it out.
Both the Kentucky and Oregon primaries are closed.
The Oregon primary is done solely by U.S. mail, and ballots were mailed out two weeks ago. They have to be returned, and will be counted, on May 20, next Tuesday.
One has to have registered as a Democrat by April 29, 2008, to vote in that primary.
In the Kentucky primary, one has to have been registered as a Democrat "28 days before" the date of the primary (again, May 20, next Tuesday), to vote in that primary.
I assume Kentucky is done by in-person voting.