jíshǐ hěn máng, wǒmen yě yīnggāi zhǎo shíjiān yùndòng, ràng shēnghuó gèng jiànkāng.

即使 … 也 … is a very common pattern meaning “even if / even though … still …”.

• 即使很忙 → even if (we are) very busy
• 我们也应该… → we still should …

The 也 here doesn’t mean “also” in the sense of “in addition”; it works together with 即使 to show concession:

即使 条件， 主语 也 + 结果
Even if condition, subject still + result.

You will very often see 即使 and 也 together in this pattern, but 也 can be replaced by similar adverbs depending on nuance:

• 即使很忙，我们还是应该找时间运动。
• 即使很忙，我们仍然应该找时间运动。

All of these are fine; they just change the style and emphasis slightly.

In this sentence, 很 before an adjective often does not strongly mean “very.” It often works like a default link between a subject and an adjective.

In simple descriptive sentences:

• 我很忙。
• 他很高。
• 天气很好。

the 很 can feel weaker than English “very.” It’s often closer to “(quite) busy / (just) busy” rather than really emphasizing very.

If you totally drop 很 in some contexts:

• 我忙。
• 他高。

this can sound a bit unnatural or even slightly contrastive (“I’m the one who is busy”, “He is tall (unlike others)”) depending on tone and context.

In your sentence, 即使很忙 is natural and neutral; 即使忙 is not wrong, but 即使很忙 sounds more idiomatic.

The normal position of 也 is right before the verb or modal verb:

• Subject + 也
  • (modal) verb + object

So:

• 我们也应该找时间运动。 ✅
• 我们应该也找时间运动。 ❌ (unnatural)

If you add more words, 也 still usually stays before the main verb or modal:

• 我们明年也会去中国。
• 他今天也要上班。

In your sentence, 应该 is a modal verb (like “should”), so 也 goes before it:

• 我们也应该找时间运动。

Placing 也 before 我们 would be strange here, and placing it after 应该 is usually avoided.

应该 means “should / ought to” and often carries a sense of moral or logical obligation:

• 我们应该找时间运动。
  We should (it’s a good/healthy thing to do) find time to exercise.

Compare:

• 我们要找时间运动。
  
  • Can mean “we must / we’re going to” (more forceful or planned).
• 我们得找时间运动。
  
  • Colloquial “we have to / we gotta” (stronger necessity).

So:

• 应该 → recommendation, duty, what is right or reasonable
• 要 / 得 → stronger need, requirement, or decision

In this sentence about health habits, 应该 sounds natural and suitably “soft.”

All of these are possible, but they differ a bit in nuance:

• 找时间

  • Very common, neutral, everyday: “find some time (in your schedule)”
  • Broadly used: 找时间看看, 找时间聊聊, 找时间一起吃饭, etc.

• 抽时间

  • Literally “to pull out time” → to take time out of a busy schedule
  • Slightly more explicit that you’re already busy:
    • 即使很忙，我们也应该抽时间运动。

• 腾出时间

  • Literally “to free up time” → you clear your schedule / make room
  • Often sounds a bit more deliberate or formal:
    • 为了健康，我们要腾出时间运动。

In the original sentence, 找时间运动 is natural, neutral, and fits the tone well.

In this sentence, 运动 is used as a verb: “to exercise / to do sports.”

• 找时间运动 → find time to exercise / work out

运动 can be:

• Verb: 我每天运动。(I exercise every day.)
• Noun: 我喜欢各种运动。(I like all kinds of sports.)

锻炼 also means “to exercise / to work out / to train (the body)”, and is usually a verb:

• 我每天锻炼身体。
• 你应该多锻炼。

Differences:

• 运动 is slightly broader: can mean any physical activity or sports, and also political movements (e.g., 学生运动).
• 锻炼 focuses more on training, working out, strengthening the body (or a skill).

In your sentence, you could also say:

• 找时间锻炼
  and it would still be very natural.

Here, 让 means “to make / to cause / to allow [something to become …]”.

Pattern:

让 + 名词 + 更 + 形容词
make/let + noun + more + adjective

So:

• 让生活更健康
  → make our life healthier / let life be healthier

让 in this structure = “to cause” rather than simply “to permit.” Examples:

• 这件事让我很生气。
  This matter makes me very angry.
• 多喝水让皮肤更好。
  Drinking more water makes the skin better.

In your sentence, the subject 我们 is understood from the first clause, so we can mentally expand it as:

• 我们…找时间运动，(这样可以) 让生活更健康。
  We … find time to exercise, (in this way) making our life healthier.

更 means “even more / more (than before or than something else)”.

• 更健康 → even healthier / more healthy

Comparison:

• 很健康 → very healthy (strong degree, but not about change)
• 比较健康 → relatively quite healthy / healthier (than average)
• 更健康 → “more healthy than before OR than another option”

In context:

• 让生活更健康
  = make our life healthier (than it is now / than it would be without exercise).

So 更 normally implies some kind of comparison or improvement, explicit or implied.

In 让生活更健康, 健康 is an adjective functioning as a predicate:

• 生活 (subject) + 更健康 (predicate adjective)
• life + (becomes) healthier

In Chinese, when you use an adjective after a noun as a state or result, you don’t need 的:

• 天气很好。(The weather is very good.)
• 身体不太健康。(The body is not very healthy.)
• 生活更健康。(Life is healthier.)

You use …的… when an adjective modifies a noun in front of it:

• 健康的生活 → a healthy life / healthy lifestyle
• 忙碌的生活 → a busy life

So we could restructure:

• 让生活更健康。
  Make life healthier.
• 让我们拥有更健康的生活。
  Let us have a healthier life.

Both are correct; the original just uses the predicate form.

Chinese often links closely related clauses with a comma instead of a conjunction:

• 即使很忙，我们也应该找时间运动，
  让生活更健康。

The second part:

• 让生活更健康

does not repeat the subject (我们), but it is understood from the previous clause. Expanded, it’s like:

• (我们应该找时间运动，来) 让生活更健康。
  (We should find time to exercise, [in order to] make life healthier.)

This is very common:

• 我们多喝水，保护身体健康。
• 早点睡，明天有精神。

So yes, the subject is omitted in the second clause, but it’s grammatically normal and natural in Chinese.

Yes, that is also correct, and quite natural:

• 即使很忙，我们也应该找时间运动。
• 我们即使很忙，也应该找时间运动。

Both mean the same thing. The difference is mainly focus and rhythm:

• 即使很忙，我们也应该…
  
  • Starts with the condition; sounds a bit more formal / written.
• 我们即使很忙，也应该…
  
  • Starts with “we”; feels slightly more conversational.

In everyday speech, you will often hear the second version, but the original version is perfectly standard and maybe a bit more “textbook style.”