عضوية المكتبة وبطاقة المكتبة في الحساب.

It is most naturally understood as a noun phrase or interface label, not a full sentence with an explicit verb.

In Arabic, especially in menus, forms, and website/app text, it is very common to use short nominal phrases like this instead of a full sentence. So something like عضوية المكتبة وبطاقة المكتبة في الحساب can function like a heading meaning that the library membership and library card are in the account or are associated with the account, depending on context.

If Arabic wanted to make it a fuller sentence, it could add something like a verb or an implied copular meaning, but in UI-style language that is often unnecessary.

Because عضوية المكتبة is an iḍāfa construction, also called a construct phrase.

In an iḍāfa:

• the first noun usually does not take الـ
• the second noun determines whether the whole phrase is definite or indefinite

So:

• عضوية مكتبة = library membership / a library membership
• عضوية المكتبة = the library membership / library membership of the library

Even without الـ on عضوية, the whole phrase is definite because المكتبة is definite.

Because there are two separate iḍāfa phrases:

• عضوية المكتبة
• بطاقة المكتبة

Each one independently means something connected to the library. Arabic often repeats the second term like this for clarity.

In English, you might sometimes avoid repetition, but Arabic is often more comfortable repeating a noun when it belongs to two different linked phrases. So the repetition is normal and clear, especially in formal or administrative language.

و simply means and.

It joins the two noun phrases:

• عضوية المكتبة = library membership
• بطاقة المكتبة = library card

So together they form a coordinated phrase: library membership and library card

This is very straightforward grammar. و is attached directly to the following word in writing, so وبطاقة is just و + بطاقة.

في الحساب literally means in the account.

Word by word:

• في = in
• الحساب = the account

In many digital or administrative contexts, English might also express this as:

• on the account
• under the account
• associated with the account

So the most natural English depends on context, but grammatically the Arabic is simply a prepositional phrase: in the account.

Because it refers to a specific account, not just any account.

Compare:

• في حساب = in an account / in some account
• في الحساب = in the account

In interface language, definite nouns are very common because the system is referring to a specific known thing, such as the account belonging to the user.

Yes. In normal Arabic writing, short vowel case endings are usually not written, but they are understood grammatically.

If you fully vocalized this phrase in a neutral citation-style reading, it could be:

عُضْوِيَّةُ الْمَكْتَبَةِ وَبِطَاقَةُ الْمَكْتَبَةِ فِي الْحِسَابِ

The important pattern is:

• the first noun of each iḍāfa can be nominative here if treated as part of a heading/topic
• the second noun in each iḍāfa is genitive
• الحساب is also genitive because it comes after the preposition في

In everyday reading, though, learners usually do not need to pronounce every case ending unless studying fully inflected MSA carefully.

A practical pronunciation without full case endings is:

ʿuḍwiyyat al-maktaba wa-biṭāqat al-maktaba fī al-ḥisāb

A few helpful notes:

• ع in عضوية is the letter ʿayn, a sound English does not have
• ṭ in بطاقة is an emphatic t
• ḥ in الحساب is a stronger, breathier h sound than normal English h

If you are reading more carefully with grammatical endings, it could be pronounced something like:

ʿuḍwiyyatu l-maktabati wa-biṭāqatu l-maktabati fī l-ḥisābi

But for most learners, the first version is the more useful practical one.

Yes, literally it is something like the library’s card or card of the library, because it is an iḍāfa.

But in natural English, we usually translate that kind of phrase more idiomatically as library card.

This is very common with Arabic iḍāfa constructions:

• باب البيت = the house door = the door of the house
• مدير المدرسة = the school’s director = school principal/headmaster
• بطاقة المكتبة = the library’s card = library card

So learners should not translate every iḍāfa too mechanically.

It does not always mean strict possession.

The iḍāfa can express many relationships, including:

• possession
• association
• type
• category
• part-whole
• purpose

So بطاقة المكتبة does not have to mean the library literally owns the card in a strong possessive sense. It more naturally means the card associated with the library, which English expresses as library card.

Likewise, عضوية المكتبة means library membership, not necessarily the membership owned by the library in a literal sense.

Because Arabic often omits the equivalent of is/are in present-tense nominal statements, and in headings or interface text it is even more likely to leave things as short noun phrases.

So even if the intended meaning in English would require something like:

• The library membership and library card are in the account

Arabic can often express the idea without writing a separate present-tense verb.

In this specific example, it feels especially like a label or status line, where brevity is preferred.