رسوم الشحن في فاتورة الشراء.

Not really. By itself, it is more naturally understood as a phrase, a heading, or a label, not a full sentence with a verb.

In Arabic, especially in documents, websites, invoices, and forms, it is very common to use short noun phrases like this instead of complete sentences. So this could be the title of a line item or a section on an invoice.

رسوم is the plural of رسم when رسم means fee or charge.

So:

• رسم = a fee / a charge
• رسوم = fees / charges

In business and invoice language, Arabic often uses the plural رسوم in places where English might say shipping fee, shipping charge, or shipping charges. It sounds natural in this kind of context.

Also, be aware that رسم can also mean drawing, but here the context clearly makes it mean fee.

This is an iḍāfa construction, often called a genitive construction or noun-noun construction.

So:

• رسوم = fees
• الشحن = the shipping

Together, رسوم الشحن means shipping fees or more literally fees of shipping.

In Arabic, this is a very common way to express what English often expresses with of or with a noun used like an adjective.

Because in an iḍāfa, the first noun normally does not take ال.

So in رسوم الشحن:

• رسوم is the first part of the iḍāfa
• الشحن is the second part

The definiteness of the whole phrase is determined by the second noun. Since الشحن has الـ, the whole phrase becomes definite: the shipping fees.

This is why Arabic says رسوم الشحن, not الرسوم الشحن.

No, here الشحن is a noun, not a verb.

More specifically, it is a verbal noun or maṣdar, meaning shipping, shipment, or dispatch, depending on context.

So رسوم الشحن literally means fees of shipping, which English naturally turns into shipping fees or shipping charges.

في literally means in, but in Arabic it is often used in places where English would say in, on, or even within, depending on the context.

So:

• في فاتورة الشراء literally = in the purchase invoice
• natural English = on the purchase invoice or in the purchase invoice

With documents, bills, and forms, Arabic often uses في where English prefers on.

This is another iḍāfa construction:

• فاتورة = invoice
• الشراء = the purchase / buying

So فاتورة الشراء means purchase invoice or more literally invoice of the purchase.

Again, the first noun in the iḍāfa, فاتورة, does not take الـ, and the second noun, الشراء, makes the whole phrase definite.

Because Arabic verbal nouns behave like normal nouns in many ways.

شراء means buying or purchase, and it can take الـ just like other nouns:

• شراء = purchase / buying
• الشراء = the purchase / the buying

So in فاتورة الشراء, Arabic is treating purchase as a regular noun.

A natural pronunciation is:

rusūm ash-shaḥn fī fātūrat ash-shirāʾ

A few useful notes:

• رسوم = rusūm
• الشحن is pronounced ash-shaḥn, not al-shaḥn, because ش is a sun letter, so the l of الـ assimilates
• فاتورة الشراء is pronounced fātūrat ash-shirāʾ
• the ة in فاتورة is pronounced as t because it is followed by another word in an iḍāfa

Because ordinary Arabic writing usually leaves them out.

So you normally see:

رسوم الشحن في فاتورة الشراء

instead of a fully vocalized version.

Also, the exact case endings depend on how the phrase functions inside a larger sentence. Since this looks like a heading or label, Arabic usually just writes the plain unvocalized form and lets the reader understand it from context.