Any thinking on how to cover litter boxes?? we have 3 cats and we preserve the litter boxes outside on...

we have 3 cats and we preserve the litter boxes outside on the lanai(live in florida) we in recent times moved to a new house and the solitary place on the lanai that has adequate room is only to a degree covered. i need a passageway to cover the back and top of the boxes. perchance something like a tent or lean to kinda entry?? any ideas would be of assistance. my dog also uses the litter boxes so i don't want to totally enclose them because i don't suppose she will use them then. gratefulness for any ideas.
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Answers:    I'm merely amazed that you got the dog to use the litter box. You're awesome. One of my friends built a life-size box with an enlarge back around her litter box, stained it and made a small flow box on top so that it's enormously decorative and doesn't look approaching a litter box. The open stern would give your cats and dog access to the litter box, and you won't enjoy the look of a litter box on the lanai. It will just look similar to a pretty flower stand.
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Why not put an dog igloo or regular dog house (without the bottom) over it?