Accudiamo ogni cane randagio.

Accudiamo is the present indicative, 1st person plural of accudire.

So the ending -iamo tells you the subject is we. In this sentence, it is the finite verb and means that we do the action.

Italian present tense can often correspond to English:

• we take care of
• we look after
• sometimes, depending on context, we are taking care of

Italian often leaves out subject pronouns when they are not needed.

Because accudiamo already clearly means we, adding noi is usually unnecessary:

• Accudiamo ogni cane randagio. = normal, neutral
• Noi accudiamo ogni cane randagio. = more emphatic, as in we take care of every stray dog

This is called a pro-drop language feature.

The infinitive is accudire.

It belongs to the -ire group, and it is one of the verbs that use -isc- in some present-tense forms:

• io accudisco
• tu accudisci
• lui/lei accudisce
• noi accudiamo
• voi accudite
• loro accudiscono

So noi accudiamo is exactly the expected form.

Because ogni is followed by a singular noun in Italian.

So:

• ogni cane = every dog / each dog

Even though the meaning is distributive and refers to more than one dog overall, the noun stays singular after ogni.

This is different from English, where learners sometimes expect a plural because the idea is plural.

Because ogni normally comes directly before the noun, without an article.

So you say:

• ogni cane
• ogni libro
• ogni giorno

Not:

• ogni il cane
• ogni un cane

That would be ungrammatical.

Ogni means every or each.

In many cases, English can choose either one depending on style and context. Italian ogni covers that idea of considering the members of a group one by one.

So ogni cane randagio means each individual stray dog in the group is included.

Because in Italian, adjectives often come after the noun.

So:

• cane randagio = stray dog
• gatto nero = black cat
• casa grande = big house

Putting the adjective after the noun is the normal, neutral order here.

Because adjectives must agree with the noun they describe.

Cane is masculine singular, so the adjective is also masculine singular:

• cane randagio = masculine singular

If the noun changed, the adjective would change too:

• cani randagi = masculine plural
• cagna randagia = feminine singular
• cagne randagie = feminine plural

So randagio matches cane.

Here accudire takes a direct object, so no preposition is needed.

That is why the sentence is:

• Accudiamo ogni cane randagio

and not:

• Accudiamo a ogni cane randagio

This can be tricky for English speakers because English often uses a phrase like take care of, which includes a preposition. Italian accudire works more directly.

They are similar, but not identical.

• ogni cane randagio focuses on each individual member of the group
• tutti i cani randagi means all the stray dogs

So:

• Accudiamo ogni cane randagio = we take care of every stray dog
• Accudiamo tutti i cani randagi = we take care of all the stray dogs

The first has a more distributive feel; the second is more collective.

Yes. Italian present tense is broader than English in this respect.

Accudiamo ogni cane randagio can mean:

• a general habit: this is what we do
• in some contexts, a current present idea: we are taking care of every stray dog

Usually the surrounding context tells you which meaning is intended. Without context, many people would read it as a general statement or habitual action.