there are several range hoods eg Miele that can be vented horizontally and even some that can vent downward under the floor and another that has the motor outside the walls but you'll need to check with manufacturers to clarify which one would suit as you need to know exactly where the wall and floor framing is located to make sure there's enough space for installation ..rear venting rangehoods don't use less cabinet space they just avoid having a pipe through the ceiling and roof...
oklouise
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