Garantni list važi i rok popravke je blizu.

Garantni is an adjective. It means something like warranty-related or guarantee-related.

So:

• garantni list = warranty card / warranty certificate

It agrees with list in gender, number, and case:

• list is masculine singular
• so the adjective is also masculine singular: garantni

This is very normal in Serbian: adjective + noun, just like warranty card in English, though Serbian marks the agreement more clearly.

Yes, list can mean leaf, but it also has other meanings depending on context.

Common meanings of list in Serbian include:

• leaf (of a plant)
• sheet
• paper/document
• in expressions like garantni list, it means a certificate/card/document

So garantni list is not about a plant leaf at all. It is a fixed practical expression meaning a warranty document.

Važi is the 3rd person singular present tense of the verb važiti.

Here it means:

• is valid
• applies
• is in force

So:

• Garantni list važi = The warranty card is valid

This verb is very commonly used for rules, tickets, prices, documents, offers, warranties, and so on.

Examples:

• Karta važi do petka. = The ticket is valid until Friday.
• Ovo pravilo više ne važi. = This rule no longer applies.

Because Serbian normally expresses this idea with the verb važiti.

English often says:

• The warranty is valid.

Serbian more naturally says:

• Garantni list važi.

So instead of literally saying is valid, Serbian uses a verb meaning to be valid / to apply.

That is one of those places where you should learn the Serbian expression as a whole, not word-for-word.

Here i means and.

The sentence has two clauses:

• Garantni list važi
• rok popravke je blizu

So:

• Garantni list važi i rok popravke je blizu.
• The warranty card is valid and the repair deadline is near.

Serbian i can sometimes also mean too / also, depending on position and context, but here it is simply the conjunction and joining two statements.

Because Serbian usually does not put a comma before i when it simply joins two coordinated elements or clauses, much like English usually does not before a simple and.

So this is normal:

• Garantni list važi i rok popravke je blizu.

A comma would usually appear only in special cases, not in this basic coordination.

Literally, it is something like:

• rok = deadline / time limit / term
• popravke = of repair

So rok popravke means:

• repair deadline
• repair period
• time limit for repair

The exact English translation depends on context, but grammatically it is a noun phrase where the second noun specifies what kind of rok it is.

Because popravke is the genitive singular form of popravka.

This is a very common Serbian pattern:

• rok + genitive

So:

• popravka = repair
• rok popravke = deadline/period of repair

The genitive is often used in Serbian where English uses of or a noun used attributively.

Compare:

• cena proizvoda = the price of the product
• vreme dolaska = the time of arrival
• rok popravke = the repair deadline / the period for repair

The whole phrase functions as the subject, so the head noun rok is in the nominative singular.

Inside that phrase:

• rok = nominative singular
• popravke = genitive singular

So the structure is:

• [rok] = subject noun
• [popravke] = dependent genitive modifying rok

This is a very common mixed structure in Serbian noun phrases.

In this sentence, blizu works as a predicative word, meaning near / close.

So:

• rok popravke je blizu = the repair deadline is near

For a learner, the most useful thing is to recognize the whole pattern:

• X je blizu = X is near

You will also see blizu used with the genitive:

• blizu kuće = near the house

But in this sentence it is simply part of the predicate:

• je blizu = is near

Yes. Very often blizu is followed by a noun in the genitive:

• blizu škole = near the school
• blizu grada = near the city

But that is a different structure from the one in your sentence.

Here we have:

• rok popravke je blizu

In this sentence, blizu is not introducing another noun phrase. It just means near / approaching.

You could think of it as:

• The deadline is close.
• The deadline is near.

Because the two clauses use different kinds of predicates.

1. Garantni list važi

   • važi is a full verb
   • no extra je is needed

2. rok popravke je blizu

   • blizu is not a full finite verb
   • so Serbian uses the copula je = is

That is why the sentence has:

• važi in the first clause
• je blizu in the second clause

Both list and rok are masculine singular nouns.

That matters because adjectives and some other words must agree with the noun:

• garantni list
  • garantni matches masculine singular list

In this particular sentence, the verb forms do not visibly change for masculine vs. feminine in the present tense:

• list važi
• rok je blizu

But agreement is still important elsewhere in Serbian, especially with adjectives and past-tense forms.

Yes, Serbian word order is fairly flexible, though this sentence is in a very natural neutral order.

Neutral order:

• Garantni list važi i rok popravke je blizu.

You could rearrange things for emphasis, but the original sounds normal and straightforward.

For example, if you wanted to emphasize blizu, Serbian might allow other arrangements in a broader context, but for a learner the safest choice is to keep the basic order used here.

Yes. Here blizu is clearly about time, not physical space.

So rok popravke je blizu means something like:

• the repair deadline is near
• the repair deadline is approaching
• there is not much time left before the repair deadline

Serbian uses spatial words like blizu very naturally for time as well, just like English does with near.

Yes, it is understandable and natural enough, especially in practical or administrative contexts.

That said, depending on the exact situation, a native speaker might also say things like:

• Garantni list još važi, a rok za popravku je blizu.
• Garantni list je i dalje važeći, a rok za popravku se približava.

But your original sentence is perfectly learnable and grammatically clear.

A learner should mainly notice the useful chunks:

• garantni list
• važi
• rok popravke
• je blizu