As long as the hood is metal, usually anywhere from 24" up - just not so far up it doesn't work:) The install instructions will usually give a range of high and low. You can probably install a hood right under the cabinets that are already there.

Your range will dictate the cfm requirement of the hood. If the cfm requirement is above 400 cfm, then you will need to add "make up" air which gets expensive. If you have been getting by just fine with a microwave vent, you probably do not need to exceed 400 cfms, so watch that on the vent you pick out.

A wood hood should be at least 30" up.

• You posted on the dilemma page. Your question could / should have been
  asked on the page at Houzz where you found the product. Houzz is nothing
  more than Amazon..........Houzz is the advertiser
• It is faster to simply GOOGLE the product. God bless the internet. All Below

This is a link to the spec and venting for the hood

PDF

Includes ( everything included )

Specifications Proline PLJW 117.30-48

• 110v 60hz (USA and Canada Certification)
• Electronic Controls, Mounted Underneath
• 4 Speed, 900 Max. CFM Blower
  • SuperQuiet - 385 cfm (1.5 Sones/46db)
  • Low Speed - 490 cfm (3.5 Sones/58)
  • Medium Speed - 615 cfm (5.3 Sones/64db)
  • High Speed - 900 cfm (7.5 Sones/69db)
• LED Lights
• Beautiful Low Profile Design
• Stainless Baffle Filters
• Easy to Install, Everything Included
• Seamless Design
• Easy to Clean and Maintain
• Brushed Stainless Steel
• Product Weight 69-99lbs
• Duct Vent Size: 7"
• Dimensions: 29 3/4" wide x 22" deep x 8" tall

Hello!

Our recommended window of clearance is anywhere between 28-36 inches above the cooking surface.

When you buy a hood, it will specify the min max of where it needs to be installed. This hood's specs do not indicate it is and external blower system. Yes it is to be vented outside , if that is your question. And normally these units do not come with any ductwork since they would not know how many pieces, elbows etc you would need for your situation - those pieces are usually supplied by whoever is installing it.

Good luck!