Treningssenteret ligger nær en lang tursti i skogen.

The base word is treningssenter (gym, fitness center).

• Treningssenteret = the gym / the fitness center
• -et is the neuter definite singular ending.

So:

• et treningssenter = a gym
• treningssenteret = the gym

That tells you treningssenter is treated as a neuter noun in Norwegian (like et hus – huset).

It’s a compound:

• trening = training, exercise
• trening + s + senter → treningssenter

The extra s is a common linking sound in Norwegian compounds (like English sports car).
So treningssenter literally means something like “training center”, i.e. gym / fitness center.

In Norwegian, you often use ligge (ligger) for the location of things/buildings on a map, especially when they don’t move:

• Huset ligger ved elva. – The house is (located) by the river.
• Oslo ligger i Norge. – Oslo is (located) in Norway.

Er is more neutral “is”, but ligger emphasizes where something is situated.
Using “Treningssenteret ligger …” sounds very natural when describing where a gym is.

In this sentence, nær is a preposition meaning “near / close to”:

• ligger nær en lang tursti = is (located) near a long hiking path / walking trail

Typical patterns:

• nær noe – near something
• nær huset, nær stasjonen, nær sentrum

You might also hear:

• i nærheten av – in the vicinity of / close to
  
  • Treningssenteret ligger i nærheten av en lang tursti.

Nær is shorter and very common in spoken and written Norwegian.

Because tursti is treated as a masculine noun, so the indefinite article is en:

• en tursti – a hiking path / walking trail
• turstien – the hiking path

Articles with gender:

• en – masculine (en tursti, en bil, en skole)
• ei – feminine (used in many dialects, but “en” is also accepted for feminine)
• et – neuter (et hus, et treningssenter)

So en lang tursti is the standard masculine form: “a long hiking path.”

• sti = path, track (a small path, could be in a garden, park, forest, etc.)
• tursti = specifically a path used for walks/hikes, often a marked trail in nature

So tursti adds the idea of going for a walk/hike (tur), not just any little path.

Examples:

• Det går en sti gjennom hagen. – There is a path through the garden.
• Vi gikk en tur på turstien i skogen. – We went for a walk on the hiking trail in the forest.

In Norwegian, like in English, the adjective normally comes before the noun in the indefinite form:

• en lang tursti – a long hiking path
• et stort hus – a big house
• en gammel bil – an old car

Agreement:

• en lang tursti (masculine, indefinite)
• den lange turstien (masculine, definite: the long hiking path)
• lange turstier (plural: long paths)

So lang is in its basic form because it’s singular, indefinite and in front of the noun.

For being inside a forest, Norwegian uses i (“in”):

• i skogen – in the forest
• i huset – in the house
• i byen – in the city

På is used with some other types of places:

• på fjellet – in the mountains/on the mountain
• på skolen – at school
• på jobben – at work

So i skogen is the natural choice for in the forest.

Skog is indefinite; skogen is definite:

• en skog – a forest
• skogen – the forest

In the sentence, i skogen means “in the forest” (some particular forest that is known in the context).

Compare:

• i en skog – in a forest (any forest, not specified)
• i skogen – in the forest (the one we have in mind / nearby, etc.)

Both are possible:

• Treningssenteret ligger nær en lang tursti i skogen.
• Treningssenteret ligger i skogen nær en lang tursti.

Meaning is almost the same. The difference is focus:

• Original: first focuses on being near a long hiking path, then adds that this is in the forest.
• Second: first tells you it is in the forest, then adds that it is near a long hiking path.

Norwegian word order is fairly flexible with multiple location phrases, but the most “important” or new information often comes later in the sentence.

Yes. Nær as a preposition can come after the noun it belongs to:

• en tursti nær treningssenteret – a hiking path near the gym
• en kafé nær stasjonen – a café near the station

In your original sentence, nær is tied to “en lang tursti”:

• Treningssenteret ligger nær en lang tursti i skogen.

If you turn it around:

• En lang tursti i skogen ligger nær treningssenteret. – A long hiking path in the forest is near the gym.

So both patterns are allowed; you just have to keep nær right next to the thing it’s describing.

Approximate pronunciation (East Norwegian, written in a loose English-friendly way):

• Treningssenteret ≈ TREH-ning-sen-te-ret

  • tre like English tray but shorter
  • -nings- like nings (the g is usually soft or almost gone)
  • -senter like SEN-ter
  • -et like a short e (like eh)

• ligger ≈ LIG-ger

  • double g = a short, strong g sound

• nær ≈ nair (like English nair or near with an a-ish vowel)

• en ≈ en (short, like pen without the p)

• lang ≈ lung with an a like in British “luck”, and ng as in sing

• tursti ≈ TOOR-stee

  • tur like English tour (but shorter)
  • sti like stee

• i ≈ ee (like see)

• skogen ≈ SKOO-gen or SKO-gən

  • sko- like skoo
  • -gen often pronounced with a soft g
    • a schwa sound (-gən).

Spoken quickly, many vowels get shorter and less clear, but this gives you a good starting point.