Efterhånden som hendes kondition bliver bedre, følger hun et nyt træningsprogram.

It is a fixed expression that introduces a change happening gradually and in parallel with something else.

In this sentence, efterhånden som means something like:

• as
• as gradually
• in step with the way that
• as ... more and more

So the idea is not just one event happening after another, but a development over time: her fitness improves, and as that improvement happens, she follows a new training program.

Because efterhånden som works as a set phrase.

• efterhånden by itself is usually an adverb meaning gradually, little by little, or sometimes eventually, depending on context.
• efterhånden som is a conjunction meaning as in the sense of as something gradually happens.

So in this sentence, som is not optional. It helps turn efterhånden into a clause-linking expression.

Because the sentence begins with a subordinate clause:

• Efterhånden som hendes kondition bliver bedre

Then the main clause follows:

• følger hun et nyt træningsprogram

The comma marks the boundary between those two parts. This is normal in Danish when a subordinate clause comes first.

Because Danish main clauses normally follow the verb-second rule, often called V2.

That means the finite verb must come in the second position of the main clause.

Here, the first position is already taken by the introductory subordinate clause:

• Efterhånden som hendes kondition bliver bedre

So in the main clause, the verb comes next:

• følger

and then the subject:

• hun

That is why the order is følger hun.

If the sentence started directly with the subject, you would get:

• Hun følger et nyt træningsprogram

Because sin/sit/sine can only refer back to the subject of the same clause.

In the clause:

• hendes kondition bliver bedre

the grammatical subject is hendes kondition, not hun.

So Danish does not use the reflexive possessive sin here. It uses the ordinary possessive hendes.

A useful comparison:

• Hun forbedrer sin kondition = correct, because hun is the subject of the same clause
• Efterhånden som hendes kondition bliver bedre ... = correct, because hun is not the subject of that clause

This is a very common point for learners.

Because bliver bedre means becomes better / gets better, which shows change.

• er bedre would describe a state: is better
• bliver bedre describes a process: is getting better

In this sentence, her fitness is improving over time, so bliver is the natural choice.

Bedre is the comparative form meaning better.

It is an irregular comparative, related to god:

• god = good
• bedre = better
• bedst = best

So bliver bedre means gets better.

Even though god is the basic adjective, Danish does not form this with a regular ending here. You just have to learn bedre as the comparative form.

In this kind of sentence, kondition usually means physical fitness, stamina, or cardio fitness.

That is important because it is not the same as every use of English condition.

So hendes kondition here means her level of fitness, especially in an exercise or health context.

Because Danish normally writes compound nouns as one word.

Here:

• træning = training
• program = program

Together they form:

• træningsprogram = training program

This is very normal in Danish. English often writes these as two words, but Danish usually combines them.

Also, the last part of the compound is the main noun. So program determines the gender and basic grammar of the whole word.

Because program is a neuter noun in Danish, so it takes et.

That gives:

• et program

Since the noun is singular, indefinite, and neuter, the adjective ny changes to nyt:

• et nyt program
• et nyt træningsprogram

So the pattern is:

• en ny
  • common gender noun
• et nyt
  • neuter noun

Both bliver and følger are in the present tense.

Danish often uses the simple present where English might use either:

• gets / becomes
• is getting / is becoming
• follows
• is following

So:

• bliver bedre can mean gets better or is getting better
• følger can mean follows or is following, depending on context

Danish does have ways to express ongoing action more explicitly, but very often the plain present tense is enough.

It means following a training program in the sense of:

• using it
• sticking to it
• doing the exercises according to it
• adhering to the plan

So følger here is about following a regimen or schedule, not physically walking behind something. This is a very common use of følge in Danish.