الدهان بعيد عن التراب.

A natural Egyptian-style pronunciation is:

ed-dehān baʿīd ʿan et-turāb

A rough English-friendly guide:

• ed-dehān = the paint
• baʿīd = far
• ʿan = from
• et-turāb = the dust / dirt / soil

Notes:

• The symbol ʿ represents the Arabic letter ع, a sound English does not really have.
• The ال in الدهان and التراب is not pronounced al- here; it changes because of the first consonant of the next word.

Because Arabic normally leaves out the verb to be in the present tense.

So:

• الدهان بعيد عن التراب literally: the paint far from the dust

But in natural English, that means:

• The paint is far from the dust.

This is very common in Arabic. In present-tense descriptive sentences, you usually do not say a word for is / am / are.

بعيد means far or distant, and عن means from.

Together:

• بعيد عن = far from / away from

So the pattern is very useful:

• X بعيد عن Y = X is far from Y

Examples:

• البيت بعيد عن المدرسة = The house is far from the school.
• أنا بعيد عن المشاكل = I am away from problems.

Because بعيد normally takes the preposition عن in Arabic.

So:

• بعيد عن = far from

This is just the standard combination you learn together, almost like a fixed pair.

A good habit is to memorize:

• قريب من = near to
• بعيد عن = far from

Because it agrees with الدهان, which is grammatically masculine singular.

In Arabic, adjectives match the noun in:

• gender
• number
• definiteness

Here:

• الدهان = masculine singular definite
• so the adjective is بعيد = masculine singular

If the noun were feminine, you would usually use:

• بعيدة

For example:

• العربية بعيدة = The car is far.

In this sentence, الدهان most naturally means the paint or the coating/paintwork.

Depending on context, words from this root can relate to painting, paint, or painting work. But here, since the meaning is already given, the intended meaning is most likely the paint.

So a learner should understand:

• دهان = paint / paintwork
• الدهان = the paint

التراب can mean:

• dust
• dirt
• soil
• earth

The exact English translation depends on context.

So in this sentence, it could be understood as:

• the dust
• the dirt
• the soil

All are related ideas, and Arabic often uses one word where English may choose different words depending on the situation.

Because of sun-letter assimilation.

The Arabic definite article is written ال. But when the next letter is a sun letter, the l sound disappears and the next consonant is doubled in pronunciation.

Both د and ت are sun letters.

So:

• الدهان is pronounced ed-dehān
• التراب is pronounced et-turāb

It is still written with ال, but it is pronounced differently.

It works in both, especially in a simple sentence like this.

Why it feels natural in Egyptian:

• The structure is very normal in Egyptian.
• The pronunciation would be Egyptian-style: ed-dehān baʿīd ʿan et-turāb.

Why it also looks familiar in Standard Arabic:

• The vocabulary and grammar are not strongly dialect-only.
• A Standard Arabic speaker would also understand it easily.

So this is a good example of a sentence that crosses over pretty well between Egyptian Arabic and Standard Arabic.

The structure is:

• الدهان = the subject
• بعيد = the description
• عن التراب = a prepositional phrase completing the meaning

So the pattern is:

noun + adjective + prepositional phrase

In other words:

The paint + far + from the dust

This kind of sentence is extremely common in Arabic. It is one of the main ways to say that something is in a certain state or relation.