Мы хотим пригласить друзей.

Yes, Russian often can drop subject pronouns when the verb already makes the subject clear.

• Хотим already means we want
• So Мы хотим пригласить друзей and Хотим пригласить друзей can both be natural

Including мы can:

• add emphasis: We want to invite friends
• make the subject especially clear
• sound more balanced in some contexts

So мы is not always required, but it is completely normal here.

Хотим is the 1st person plural form of the verb хотеть (to want).

Conjugation of хотеть in the present tense:

• я хочу — I want
• ты хочешь — you want
• он/она хочет — he/she wants
• мы хотим — we want
• вы хотите — you want
• они хотят — they want

So:

• мы хотим = we want

This is one of the key patterns learners memorize early, because хотеть is very common.

Because after хотеть (to want), Russian usually uses another verb in the infinitive, just like English often uses to + verb.

Examples:

• Я хочу спать — I want to sleep
• Мы хотим поехать — We want to go
• Мы хотим пригласить друзей — We want to invite friends

So the structure is:

мы хотим + infinitive

Here:

• хотим = want
• пригласить = to invite

This is a question of aspect, which is very important in Russian.

• приглашать = imperfective
• пригласить = perfective

In this sentence, пригласить is used because it refers to a complete action: inviting the friends as a whole event.

So:

• Мы хотим пригласить друзей = We want to invite friends
  (we want to carry out that invitation)

If you used приглашать, it would sound more like focusing on the process, repeated action, or general activity:

• Мы хотим приглашать друзей чаще — We want to invite friends more often

So in this sentence, пригласить is the natural choice.

Because друзей is the form used for animate masculine plural objects in the accusative case.

The noun is:

• друг — friend
• plural nominative: друзья — friends

But after a transitive verb like пригласить (to invite), the direct object goes in the accusative.

For animate masculine plural nouns, the accusative plural looks like the genitive plural:

• nominative plural: друзья
• genitive plural: друзей
• accusative plural: друзей

So:

• друзья = friends (as the subject)
• Мы видим друзей = We see friends
• Мы хотим пригласить друзей = We want to invite friends

This is one of the most important Russian patterns: animate masculine plural accusative = genitive plural form.

Russian has no articles like the or a/an, so друзей by itself does not explicitly mark definiteness.

Depending on context, it could mean:

• friends
• the friends
• some friends
• our friends, if the context already makes that clear

In isolation, Мы хотим пригласить друзей is usually understood as something like:

• We want to invite friends or
• We want to invite some friends

If you want to be more specific, Russian often uses other words instead of articles:

• наших друзей — our friends
• этих друзей — these friends
• всех друзей — all the friends

Yes. Russian word order is more flexible than English because case endings help show grammatical roles.

The neutral order here is:

• Мы хотим пригласить друзей

But other orders are possible, for example:

• Друзей мы хотим пригласить — It’s the friends that we want to invite
• Пригласить друзей мы хотим — To invite friends is what we want

These alternatives usually change the focus or emphasis, not the core meaning.

So for learners, the given sentence is the most neutral and safest version.

A careful pronunciation guide is:

Мы хоти́м пригласи́ть друзе́й.

Stress:

• хоти́м
• пригласи́ть
• друзе́й

Roughly:

• мы — mɨ (the ы sound has no exact English equivalent)
• хотим — kha-TEEM / kho-TEEM depending on how narrowly you describe it
• пригласить — preegla-SEETʹ
• друзей — droo-ZEY

A few notes:

• ы in мы is a special Russian vowel, not the English ee
• ть at the end of пригласить is a soft consonant
• unstressed vowels are often reduced in real speech

Yes, both are possible, but they are used a little differently.

• Мы хотим пригласить друзей — We want to invite friends
• Мы хотим пригласить своих друзей — We want to invite our own friends
• Мы хотим пригласить наших друзей — We want to invite our friends

The difference:

• своих is a reflexive possessive and refers back to the subject (we)
• наших simply means our

Often, своих is used when Russian wants to make it especially clear that the friends belong to the subject:

• Они пригласили своих друзей — They invited their own friends

In your original sentence, leaving out the possessive is perfectly natural if the context already makes it clear whose friends are meant.