They often have a lens and mirror arrangement in a little turret in the roof, so the image is projected downwards onto a table, and viewed the right way up.
Where the projection is from a hole (with or without lens) in one wall onto an opposite wall, as in this case, it is more difficult to arrange for an erect image. The image is naturally vertically inverted (upside down), but because you are looking at it from the 'wrong side' it is correct in terms of left and right when viewed from inside the room (laterally correct).
You could project an erect (ie up is up) image with one lens and three front-surface mirrors, in a vertical arrangement, that is also laterally correct when viewed from inside the room. I'll sketch an option out later if I get the chance: first mirror is above a lens (the optical axis of the lens is vertical) sending the incoming rays downwards to the lens, second is below the lens sending the rays upwards to the third mirror that turns the rays towards the wall.
Best,
Helen