تاريخ الشراء في فاتورة الشراء.

Not necessarily. In many real-world contexts, this is better understood as a label or heading, not a full sentence.

It is a noun phrase meaning something like:

• Purchase date in the purchase invoice
• Date of purchase on the purchase invoice

Arabic often uses short noun phrases like this in:

• forms
• invoices
• menus
• app interfaces
• database fields

A full sentence would usually need more context or a verb, but labels often do not.

Because تاريخ الشراء is an iḍāfa construction, often called a genitive construction or noun + of + noun structure.

Here:

• تاريخ = date
• الشراء = the purchase / purchasing

Together:

• تاريخ الشراء = the date of the purchase / purchase date

In Arabic, in an iḍāfa:

• the first noun usually does not take ال
• the second noun can make the whole phrase definite

So:

• تاريخ الشراء = the purchase date
• not التاريخ الشراء

It is an iḍāfa:

• تاريخ = the first term of the iḍāfa (muḍāf)
• الشراء = the second term (muḍāf ilayh)

This structure often corresponds to English X of Y or a noun-noun compound.

So:

• تاريخ الشراء = date of purchase
• literally: date [of] the purchase

A key point:

• the first noun (تاريخ) cannot usually take tanwīn
• the second noun (الشراء) is in the genitive role

Because the two instances play different roles:

1. تاريخ الشراء

   • الشراء tells you what kind of date it is: the purchase date

2. فاتورة الشراء

   • الشراء tells you what kind of invoice it is: the purchase invoice

So even though the same word appears twice, it is not redundant in grammar. It is doing two separate jobs:

• first: defining the date
• second: defining the invoice

This kind of repetition is common in administrative or technical Arabic.

Yes, in English we often say on the invoice, but Arabic commonly uses في in contexts like documents, records, and fields.

So:

• في فاتورة الشراء literally = in the purchase invoice
• but in natural English this may be translated as on the purchase invoice

This is a good example of how prepositions do not always match exactly between languages.

It is another iḍāfa:

• فاتورة = invoice
• الشراء = the purchase / purchasing

So:

• فاتورة الشراء = purchase invoice / invoice of purchase

Like تاريخ الشراء, this is:

• noun 1 + noun 2
• an Arabic possessive/genitive construction

Because الشراء is definite, the whole phrase is definite:

• فاتورة الشراء = the purchase invoice

Because Arabic often expresses of simply by putting two nouns together in an iḍāfa construction.

Examples:

• تاريخ الشراء = date of purchase
• فاتورة الشراء = invoice of purchase

So Arabic does not need a separate word like English of here. The relationship is shown by the structure itself.

A careful pronunciation would be roughly:

tārīkh ash-shirāʾ fī fātūrat ash-shirāʾ

A few helpful notes:

• الشراء is pronounced ash-shirāʾ, not al-shirāʾ
• that is because ش is a sun letter, so the l of ال assimilates
• the final hamza in شراء is pronounced at the end: shirāʾ

So both instances of الشراء are pronounced:

• ash-shirāʾ

If fully vowelled in a formal context, it would likely be:

تاريخُ الشراءِ في فاتورةِ الشراءِ

Here is why:

• تاريخُ: often nominative if treated as a standalone heading or topic
• الشراءِ: genitive because it is the second term of an iḍāfa
• فاتورةِ: genitive after في
• الشراءِ: genitive again because it is the second term of another iḍāfa

In everyday writing, these short vowels are normally omitted.

Yes. تاريخ can mean:

• date
• history

The intended meaning depends on context.

For example:

• تاريخ الميلاد = date of birth
• تاريخ العرب = history of the Arabs

In تاريخ الشراء, the business/form context makes date the natural meaning.

Yes, especially in administrative, commercial, or software contexts. It sounds like the kind of phrase you would see in:

• an invoice system
• an ERP interface
• a purchase record
• a form field

If someone wanted a smoother full sentence in regular prose, they might rewrite it, but as a label it is perfectly natural.