Investigamos el mecanismo para deducir la combinación.

Investigamos is the 1st person plural form of investigar.

It can mean either:

• we investigate / we are investigating (present)
• we investigated (simple past / preterite)

This is because in -ar verbs, the nosotros form is spelled the same in the present and the preterite:

• investigamos = present or preterite

So the exact time depends on context. If this sentence appears by itself, it is often understood as present unless something around it suggests the past.

Spanish often omits subject pronouns because the verb ending already tells you who the subject is.

• investigamos already means we investigate / we investigated

So nosotros investigamos... is grammatically possible, but it is usually unnecessary unless you want to:

• emphasize we
• contrast with someone else
• avoid ambiguity

In normal Spanish, leaving out nosotros sounds natural.

El mecanismo means the mechanism.

Spanish uses definite articles (el, la, los, las) quite often, sometimes more often than English does. Here, el mecanismo refers to a specific mechanism, method, or system being examined.

So:

• el mecanismo = the mechanism
• not just any mechanism, but a particular one being discussed

Depending on context, mecanismo could be literal or more abstract:

• a physical mechanism
• a process
• a method or underlying system

After para when expressing purpose, Spanish normally uses the infinitive if the subject stays general or is the same.

So:

• para deducir = in order to deduce

This is the standard structure:

• para + infinitive

Examples:

• Estudio para aprender. = I study in order to learn.
• Abrimos la caja para ver dentro. = We open the box to see inside.

You would not say para deducimos or para deduce because after para in this kind of construction, Spanish wants the infinitive: deducir.

Here, para expresses purpose or goal:

• para deducir la combinación = to deduce the combination / in order to deduce the combination

If you used por, the meaning would change. Por often relates to:

• cause
• reason
• exchange
• movement through
• means

So in this sentence, para is correct because it tells us why the mechanism is being investigated.

Deducir means to deduce, to infer, or to work out from clues or reasoning.

It is not exactly the same as:

• adivinar = to guess
• descubrir = to discover
• averiguar = to find out

So deducir suggests arriving at the answer through logic or evidence, not by chance.

That makes it a good match if la combinación is something like a code, lock combination, or hidden sequence that you figure out by analysis.

Yes, combinación can mean combination, including the combination of a lock, safe, or code system, depending on context.

So la combinación could refer to:

• a lock combination
• a sequence of numbers
• a code
• a particular arrangement

The article la is used because combinación is a feminine noun:

• la combinación

As with el mecanismo, the article suggests a specific combination already known in the context.

This is a very normal Spanish noun phrase structure:

• el mecanismo = the mechanism
• para deducir la combinación = to deduce the combination

The second part explains the purpose of the mechanism.

So the structure is:

• noun + para + infinitive + object

Literally:

• the mechanism for deducing the combination

Natural English might say:

• We investigate the mechanism for deducing the combination
• We investigate the mechanism used to work out the combination

Spanish word order here is straightforward and natural.

In standard Peninsular Spanish, a rough pronunciation is:

in-bes-tee-GA-mos el meh-ka-NEES-mo PA-ra de-du-THEER la kom-bee-na-THYON

A few key Spain-specific points:

• z and c before e/i are often pronounced like the th in thin
  • deducir → de-du-THIR
  • combinación → kom-bi-na-THYON
• v and b are pronounced very similarly in Spanish
• the stress falls on:
  • investigamos → ga
  • mecanismo → nis
  • deducir → final cir
  • combinación → final ción

Combinación has a written accent because the stress falls on the last syllable:

• com-bi-na-ción

Words ending in n, s, or a vowel normally have stress on the second-to-last syllable unless there is a written accent. Since combinación ends in n but is stressed on the last syllable, it needs the accent mark.

By contrast:

• investigamos naturally stresses ga
• mecanismo naturally stresses nis
• deducir naturally stresses the last syllable

So those words do not need a written accent.

Yes. This sentence sounds somewhat formal, analytical, or technical, mainly because of words like:

• investigamos
• mecanismo
• deducir

It does not sound like very casual everyday speech. In a conversation, a speaker might choose simpler alternatives depending on context. But as written, it is perfectly natural for:

• academic writing
• technical explanation
• detective/problem-solving contexts
• formal narration

Yes, depending on the nuance you want. For example:

• Estudiamos el mecanismo... = We study the mechanism...
• Analizamos el mecanismo... = We analyze the mechanism...
• Examinamos el mecanismo... = We examine the mechanism...
• Buscamos el mecanismo... = We look for the mechanism...

But investigamos suggests a more active process of inquiry or research. It implies that we are investigating how it works, not just casually looking at it.