كلما اكتشف الفريق دليلا، ازداد الأمل.

كلما means whenever, every time, or the more... the more... depending on context.

In this sentence, it introduces a repeated relationship:

• كلما اكتشف الفريق دليلا، ازداد الأمل
• Whenever the team discovered a clue, hope increased

So the idea is not just one event. It means that each new discovery led to more hope.

In Arabic, especially in formal written Arabic, كلما is very often followed by the past tense to describe:

• repeated events in the past, or
• a general repeated pattern

So:

• اكتشف = discovered
• ازداد = increased

Even though English might sometimes use the present in a general statement, Arabic commonly uses the past here to show a recurring pattern.

A rough English equivalent is:

• Every time the team discovered a clue, hope increased
• or Whenever the team discovered a clue, hope would grow

الفريق is the subject of اكتشف.

The structure of the first clause is:

• اكتشف = verb
• الفريق = subject
• دليلا = direct object

So literally:

• discovered the team a clue

This is normal Arabic verb-subject-object word order.

If the sentence were fully vowelled, it would be:

• الفريقُ

with -u because it is nominative as the subject.

Because دليلا is a direct object, so it is in the accusative case.

The verb اكتشف is transitive, so it takes an object:

• اكتشف الفريق دليلا
• The team discovered a clue

If fully vowelled, it is:

• دليلًا

That final -an sound is the usual accusative ending for an indefinite singular noun.

So:

• دليلٌ = a clue (subject form, nominative)
• دليلًا = a clue (object form, accusative)

Because the sentence means a clue, not the clue.

Using دليلا suggests that each time the team found some new clue, hope rose. It does not refer to one already known specific clue.

This is very natural after كلما:

• كلما اكتشف الفريق دليلا...
• Whenever the team discovered a clue...

If you said الدليل, it would sound like a specific clue already identified in the context.

الأمل means hope, and Arabic often uses the definite article الـ with abstract nouns in a generic sense.

So الأمل here means something like:

• hope
• the hope
• hope in general / the level of hope

This is more natural in Arabic than using an indefinite form here.

Also, الأمل is the subject of the second verb:

• ازداد الأمل
• hope increased

If fully vowelled:

• الأملُ

because it is nominative.

ازداد means increased, grew, or became greater.

It is a common formal MSA verb and is very natural in news, academic writing, and formal narrative.

You could also say:

• زاد الأمل

which also means hope increased

But ازداد often sounds a bit more formal or literary. In Modern Standard Arabic, both are correct, and ازداد is very common.

Grammatically, it is singular: a clue.

But in this kind of sentence, the singular indefinite often has a repeated, generic meaning:

• every time they found a clue
• meaning: one clue at a time, on repeated occasions

So the whole sentence can imply multiple discoveries over time, even though دليلا is singular.

That is very similar to English:

• Every time they found a clue...

This does not mean only one clue total.

The given word order is the most natural formal order:

• كلما اكتشف الفريق دليلا، ازداد الأمل

This is basically:

• connector + verb + subject + object, then
• verb + subject

Arabic often prefers starting verbal clauses with the verb.

You may sometimes see other word orders for emphasis, but for a learner, this sentence is an excellent standard pattern to follow.

Not only, but the most common and safest pattern for learners is:

• كلما + past verb ... past verb
• or كلما + past verb ... present verb

In formal Arabic, the past after كلما is very common because it expresses repeated occurrence very neatly.

So this sentence uses a classic pattern:

• كلما اكتشف ... ازداد ...

As a learner, this is a very useful structure to remember.

A fully vocalized version is:

كُلَّمَا اكْتَشَفَ الفَرِيقُ دَلِيلًا، ازْدَادَ الأَمَلُ.

A simple pronunciation guide:

kullamā iktashafa al-farīqu dalīlan, izdāda al-amalu

Notes:

• كُلَّمَا = kullamā
• اكتشف = iktashafa
• الفريق = al-farīq
• دليلًا = dalīlan
• ازداد = izdāda
• الأمل = al-amal

In normal unvowelled Arabic text, those final case vowels are usually not written, but they are still understood grammatically.