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Yes, the shelfs are glued together with dado joints, and also with screws were they are not visible. It should be easy, but there are problems like I have a router bit for 18 and 19 mm, but the plywood is ~ 18,3 – 18,5 mm, so I took the 18 mm router bit and cut away a little bit. On the bottom they are screwed (were not visible) to the base. On the top still missing are, well, top pieces. I don't know why I didn't attached them when it would have been easy.
Part II of some pictures