المبشرة والمقشرة على لوح التقطيع.

Yes. This is a normal nominal sentence in Arabic.

In present-time statements, Arabic usually does not use a separate word for is/are. So:

• المبشرة والمقشرة = the subject
• على لوح التقطيع = the predicate/location

So the sentence is complete even without a verb. The idea of are is simply understood from context.

In this context, they are most naturally read as tool nouns:

• المِبْشَرَة = al-mibshara
• المِقْشَرَة = al-miqshara

A fully vocalized version of the whole sentence would be:

المِبْشَرَةُ وَالمِقْشَرَةُ عَلَى لَوْحِ التَّقْطِيعِ

One thing learners often notice: without short vowels, Arabic spelling can be ambiguous. So المبشرة could theoretically be read in more than one way, but the meaning here makes the tool reading the correct one.

Because the ending ـة is not only for female people or animals. It also appears in many ordinary nouns, including names of tools.

So here, the ـة is just part of the noun form:

• مِبْشَرَة = grater
• مِقْشَرَة = peeler

This does mean the nouns are grammatically feminine, but that is a grammar category, not biological gender.

Here they are best understood as ordinary nouns naming tools.

They are built from roots:

• ب ش ر
• ق ش ر

But in this sentence they are not describing something else; they are the actual things being talked about. So they function as nouns, not adjectives.

That is why the sentence structure is:

• the grater and the peeler
  • on the cutting board

not something like the grating one or the peeling one.

Because both nouns are definite: the grater and the peeler.

In Arabic, when two definite nouns are joined by و (and), it is very normal to repeat الـ on each one:

• المبشرة والمقشرة

This is the straightforward way to say the X and the Y.

It is an iḍāfa construction, often called a genitive/construct phrase.

Literally it is:

• لوح = board
• التقطيع = the cutting

So لوح التقطيع means something like board of cutting, which English expresses as cutting board.

This is a very common Arabic pattern for noun combinations.

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

So Arabic says:

• لوح التقطيع

not:

• اللوح التقطيع

The definiteness of the whole phrase comes from the second noun, التقطيع, which is definite here. As a result, the whole phrase is understood as definite.

This is an important Arabic rule:

• first noun in iḍāfa: no الـ
• second noun: can be definite or indefinite, and it affects the whole phrase

على is the normal preposition for on or on top of.

So:

• على لوح التقطيع = on the cutting board

This is exactly the kind of location phrase Arabic often uses as the predicate of a sentence.

In fully vocalized MSA, the sentence is:

المِبْشَرَةُ وَالمِقْشَرَةُ عَلَى لَوْحِ التَّقْطِيعِ

Why these endings?

• المِبْشَرَةُ: nominative, because it is part of the subject
• المِقْشَرَةُ: also nominative, for the same reason
• لَوْحِ: genitive, because it comes after على
• التَّقْطِيعِ: genitive, because it is the second term of the iḍāfa

In normal pausing pronunciation, learners often hear these final short vowels dropped or not emphasized, but in formal grammar they are there.

Because Arabic does not need a pronoun when the nouns themselves are already stated.

The subject is simply the coordinated phrase:

• المبشرة والمقشرة = the grater and the peeler

That is enough by itself. The predicate is the location phrase:

• على لوح التقطيع

If you wanted to replace the two nouns with a pronoun, then you could use هما for they two. But with the actual nouns present, no extra pronoun is needed.