Having translated a book dedicated to economy, I found out a bit unclear
sentence for me. Could you please explain that?

> その手間が面倒な人がペットボトルのお茶を買う **のであり**
> 、そう考えると、私たちはお茶そのものを買っているというよりは、「お茶を飲むために必要ないろいろな手間を節約してくれるサービス」を買っている
> **のです** 。

Sorry for its length, but I really can't get the main point.

Like, we buy tea in the plastic bottle with thought that we pay for service
and don't make any efforts instead of people who spend time and effort on
that?
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translation explanatory-の
Meaning of "のであり" in the sentence
I am a native speaker of Japanese but not of English. So my English may not be
natural but I hope to be helpful.

First, I think "のであり" in this sentence is a more assertive and more formal or
politer expression of "ので". So "その手間が面倒な人がペットボトルのお茶を買うのであり" is almost the same
as "その手間が面倒な人がペットボトルのお茶を買うので". (But I am sorry I couldn’t find this usage in
any dictionary I have.) ↑ I am really sorry. This explanation is
incorrect.(edited 3/22)

Second “のです”’s definition in your sentence is:

>
> [のです](https://dictionary.goo.ne.jp/jn/172106/meaning/m0u/%E3%81%AE%E3%81%A7%E3%81%99/)  
>  ［連語］《準体助詞「の」＋断定の助動詞「です」》「のだ」の意の丁寧な表現。(It is a politer equivalent of "のだ".)  
>  １ 理由や根拠を強調した断定の意を表す。 (It is used to emphasize reasons or grounds.  
>  e.g. 「注意をしないからけがをする―◦です」 (You get injured. This is because you aren’t
> careful.)

(I quoted these definitions from [デジタル大辞泉](https://dictionary.goo.ne.jp/jn/).)
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answer
There's a lot to unpack here. The attempted translation you proffered doesn't
come all that close, so I've broken it down as shown below:

* * *

その手間が面倒な人 People (who find) that 'labor/time & effort' bothersome

が [subject marker]

ペットボトルのお茶を買う buy PET bottles of tea

のであり、 explanatory/emphasizing の + continuous form of である（です）

そう考えると、 Thinking this way,

私たちはお茶そのものを買っているというよりは、 rather than us actually buying 'tea'

「お茶を飲むために必要ないろいろな手間 the various necessities of labor/time & effort in drinking
tea

を節約してくれるサービス」を買っている we are buying a service that is saving us

のです。 explanatory/emphasizing の + です

> People who find the effort of brewing their own tea bothersome buy PET
> bottles of tea, and thinking this way, rather than actually buying 'tea' we
> are buying a service that is saving ourselves from that necessary effort
> (that we find bothersome).

Your lack of inclusion as to what this 手間 is is supposedly 'brewing one's own
tea'. If not, just substitute whatever that 手間 is.
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answer