Nous vérifions l’espace de stockage et la résolution d’image.

Because espace is a singular noun that starts with a vowel sound.

In French, le and la usually shorten to l’ before a vowel or a silent h:

• le livre
• la table
• l’espace
• l’image

So here:

• espace is masculine singular
• its normal article is le
• but le espace becomes l’espace by elision

So l’espace = the space.

Nous vérifions is the present tense of vérifier with nous.

• nous = we
• vérifier = to check / to verify
• nous vérifions = we check or we are checking

French present tense often covers both:

• a general present: we check
• an action happening now: we are checking

So in a technical message, Nous vérifions... often sounds like:

• We are checking...

It comes from the verb vérifier, which is a regular -er verb.

Present tense:

• je vérifie
• tu vérifies
• il / elle vérifie
• nous vérifions
• vous vérifiez
• ils / elles vérifient

For nous, regular -er verbs usually end in -ons.
Here the stem is vérifi-, so:

• vérifi-
  • -ons = vérifions

That spelling is normal.

French often uses the pattern:

noun + de + noun

to express the kind of relationship that English often expresses by putting one noun in front of another.

So:

• storage space → espace de stockage
• credit card → carte de crédit
• bathroom → salle de bain

Literally, espace de stockage is something like space for storage or space of storage, but in natural English we say storage space.

This is a very common French structure.

Because in expressions like this, French often leaves out the article after de when the second noun is being used in a general, descriptive way.

So:

• espace de stockage = storage space
• not the space of the storage

Here stockage is not talking about a specific storage unit. It is naming the type or function of the space.

This is common in technical and general expressions.

Both are possible, but they do not mean exactly the same thing.

• la résolution d’image = image resolution in a general or technical sense
• la résolution de l’image = the resolution of the image, meaning a specific image

So in this sentence, résolution d’image sounds like a technical category, similar to English image resolution.

Also, de becomes d’ before a vowel:

• de image → d’image

So:

• résolution d’image = general/technical expression
• résolution de l’image = resolution of a particular image

French normally repeats the article before each noun in a list or pair.

So French prefers:

• l’espace de stockage et la résolution d’image

rather than:

• l’espace de stockage et résolution d’image

In English, dropping the second article can sound fine in some contexts, but in French it is usually more natural and standard to repeat it.

So the repeated la is completely normal.

Here are the noun genders:

• espace — masculine
• stockage — masculine
• résolution — feminine
• image — feminine

That is why you see:

• l’espace (from le espace → l’espace)
• la résolution

You do not see an article directly before stockage or image here, but their genders are still:

• le stockage
• l’image / une image

It marks elision.

In French, de becomes d’ before a vowel or silent h:

• de + image → d’image
• de + eau → d’eau

This helps the sentence flow more smoothly in pronunciation.

So:

• résolution d’image not
• résolution de image

Yes. It sounds natural, especially in a technical, interface, or system-check context.

A sentence like Nous vérifions l’espace de stockage et la résolution d’image could appear in:

• a setup wizard
• a device check
• an upload screen
• a compatibility test

In that kind of context, French often uses the present tense to describe what the system is currently doing:

• Nous vérifions...
• Nous analysons...
• Nous préparons...

So it reads naturally as a status message like We are checking...