Brandtæppet ligger ved ovnen og brandslukkeren.

Because Danish, like English, often builds nouns as compounds, but Danish does this even more consistently.
So brand + tæppe becomes brandtæppe:

• brand = fire
• tæppe = blanket/rug

Together, brandtæppe means fire blanket. Danish usually writes this as a single word, not as two separate words.

In the sentence, it appears as brandtæppet, which is the definite singular form: the fire blanket.

That -et is the Danish way of saying the for many neuter nouns.

The basic noun is:

• et brandtæppe = a fire blanket

The definite form is:

• brandtæppet = the fire blanket

So instead of using a separate word like English the, Danish often adds the definiteness to the end of the noun.

For the same reason: they are definite forms, but these nouns are common gender rather than neuter.

• en ovn = an oven

• ovnen = the oven

• en brandslukker = a fire extinguisher
• brandslukkeren = the fire extinguisher

So the sentence uses three definite nouns:

• brandtæppet = the fire blanket
• ovnen = the oven
• brandslukkeren = the fire extinguisher

This is very typical in Danish.

It depends on the noun’s grammatical gender.

• common gender nouns usually take -en in the definite singular
• neuter nouns usually take -et in the definite singular

In this sentence:

• en ovn → ovnen
• en brandslukker → brandslukkeren
• et brandtæppe → brandtæppet

Unfortunately, you usually have to learn the gender together with each noun.

In Danish, ligger is often used for the location of something that is physically placed somewhere, especially something understood as lying/resting in a spot.

So:

• er = is
• ligger = lies / is located / is lying

In natural English, you might simply say is, but Danish often prefers verbs like:

• ligger = lies / is located
• står = stands
• sidder = sits

For objects, this choice often depends on how the object is thought of physically. A brandtæppe can naturally ligge somewhere.

Ved usually means by, near, or next to.

So ved ovnen og brandslukkeren means the fire blanket is located by/near the oven and the fire extinguisher.

It does not necessarily mean it is touching them. It just gives a nearby location.

Because Danish usually puts the definite article at the end of the noun instead of using a separate word like English the.

Compare:

• English: the oven

• Danish: ovnen

• English: the fire extinguisher
• Danish: brandslukkeren

So the definiteness is already built into the noun form.

No, this is a very normal Danish main clause.

The pattern is:

• Brandtæppet = subject
• ligger = verb
• ved ovnen og brandslukkeren = place/location phrase

So it follows the standard order:

subject + verb + other information

That makes it a straightforward example sentence.

Yes. The most natural reading is that ved applies to both nouns:

• near the oven
• and near the fire extinguisher

So the fire blanket is located in the area of both items.

If Danish speakers wanted to be extra explicit, they could repeat the preposition, but in a sentence like this, one ved naturally covers both nouns joined by og.

Og simply means and. It connects the two nouns:

• ovnen
• brandslukkeren

So ovnen og brandslukkeren = the oven and the fire extinguisher.

It is another compound noun:

• brand = fire
• slukker = extinguisher / something that puts out

So:

• en brandslukker = a fire extinguisher
• brandslukkeren = the fire extinguisher

Compound nouns are extremely common in Danish, so it is useful to get used to spotting the smaller parts inside longer words.

The letter æ is a vowel that does not exist as a separate letter in English. It is often somewhat like the vowel in English cat, but the exact sound can vary.

So tæppe is roughly pronounced something like TEP-eh or TEP-peh, with the first vowel similar to the a in cat, though not exactly the same.

You do not need to make it perfect immediately. The important thing is to recognize that æ is its own vowel, not a combination of a and e.

Yes, that would be understandable, and grammatically it can work. But ligger sounds more natural when talking about where an object is physically located.

So:

• er ved = is by
• ligger ved = is lying/is located by

In many everyday situations, Danish prefers ligger for an item like a fire blanket.