ציר המשקפיים נמצא במסגרת המשקפיים.

In present-tense Hebrew, you usually do not use a word meaning is / am / are.

So instead of saying something like The hinge is in the frame, Hebrew often says literally:

• ציר המשקפיים נמצא במסגרת המשקפיים
• The hinge of the glasses located in-the-frame of-the-glasses

The word נמצא often works like is located / is found, and in many contexts it fills the role that English is would fill.

So this sentence sounds natural in Hebrew, even though there is no separate word for is.

נמצא literally means is found or is located.

In this sentence, it is being used in a very natural Hebrew way to mean something like:

• is located
• is situated
• simply is (in a place)

So נמצא במסגרת המשקפיים means is located in the frame of the glasses.

It is a little more explicit than English is, because it emphasizes location.

Because נמצא has to agree with the subject, and the subject here is ציר.

• ציר = hinge
• ציר is masculine singular

So the correct form is:

• נמצא = masculine singular

If the subject were feminine singular, you would use נמצאת. If it were masculine plural, you would use נמצאים. If it were feminine plural, you would use נמצאות.

The noun משקפיים is plural in form, but it is not the subject of the sentence here. The subject is ציר.

Because Hebrew is expressing two separate relationships:

1. ציר המשקפיים = the hinge of the glasses
2. במסגרת המשקפיים = in the frame of the glasses

So English might also repeat of the glasses twice if you translate it very literally.

Hebrew often repeats the full noun in this kind of sentence instead of replacing it with a pronoun like their. A learner might expect something shorter, but this repetition is normal and clear.

It is a construct chain (called סמיכות in Hebrew).

That means:

• ציר = hinge
• המשקפיים = the glasses

Together:

• ציר המשקפיים = the hinge of the glasses

In Hebrew, possession is often shown by putting two nouns next to each other, instead of using of.

A few similar examples:

• דלת הבית = the door of the house
• מפתח האוטו = the key of the car

So ציר המשקפיים is the same kind of structure.

Because it is made from:

• ב־ = in
• המסגרת = the frame

When ב־ is attached to a noun with ה־ (the), they combine:

• ב + ה + מסגרת → במסגרת

This is pronounced roughly ba-misgeret.

So במסגרת means in the frame.

This same thing happens with other prepositions too:

• בבית = in the house
• למלך = to the king
• כש... etc. in other patterns

So the one-word form is completely normal.

The definite article ה־ is still there in meaning, but it gets absorbed into the preposition.

So:

• מסגרת = a frame
• המסגרת = the frame
• במסגרת = in the frame

This is really ב + המסגרת, but Hebrew writes it as one combined form.

So even though you do not see a separate standalone ה, the noun is still definite.

Yes, משקפיים has the ending ־יים, which historically is the dual ending.

This ending is often used for things that naturally come in pairs, like:

• עיניים = eyes
• אוזניים = ears
• משקפיים = glasses

For a learner, the important point is that משקפיים behaves like a fixed plural-type noun meaning glasses / eyeglasses. Even when talking about one pair of glasses, Hebrew still uses משקפיים.

So you should think of it as a standard word meaning glasses, not as something you need to build from singular to plural in a regular way.

A reasonable pronunciation guide is:

Tzir ha-mishkafayim nimtza be-misgeret ha-mishkafayim.

A more natural connected pronunciation is closer to:

Tzir ha-mishkafayim nimtza ba-misgeret ha-mishkafayim.

A few pronunciation notes:

• צ in ציר sounds like ts in cats
• ח/כ does not appear here, so nothing especially guttural is needed
• משקפיים is pronounced roughly mish-ka-FA-yim
• נמצא is nim-TSA
• במסגרת is roughly ba-mis-GE-ret

A very useful pattern is:

[noun] + נמצא/נמצאת + ב...

which means:

[noun] + is located + in...

For example:

• הספר נמצא על השולחן = The book is on the table
• המפתחות נמצאים בתיק = The keys are in the bag
• הכוס נמצאת במטבח = The cup is in the kitchen

So your sentence follows a very common Hebrew pattern for describing location.

Not always.

מסגרת can mean a literal frame, but it can also mean a framework, setting, or context.

So במסגרת can mean:

• physically: in the frame
• abstractly: within the framework of, as part of, in the context of

In this sentence, because we are talking about glasses, the meaning is clearly physical: in the frame of the glasses.