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Consider questions like:

```

    Please leave the door open, thanks!
    
    Could you please keep the lift's doors open? Thankyou
    
    Please, leave it as it is.
    
```

They all imply something common: not changing the state of something. I know
that `まま` is involved in this situations.

For example, this sentence is translated in this way:

```

    そのままにして下{くだ}さい => Please, leave it as it is
    
```

And I know it is correct as I used it when I lived in Japan. But I do not know
how to express more complex situations, like those ones I mentioned before.

Could you also provide a generic explanation, I mean the grammar rules behind
this? Thankyou!
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question
grammar usage translation
How to translate: "Keep/leave something". So, how to express intention to leave something unchanged
There is ~て+おく, e.g.

> そのままにしておいてください。  
>  Please leave it the way it is.

The rationale is you do something and then you leave it that way ([置]{お}く
means to put/leave). In informal situations ~て+おく is oftened shortened to ~とく,
e.g.

> ドアを開けといてください。  
>  Please leave the door open. ( _lit._ Please open the door and leave it that
> way.)

Similar constructions are

  * ~てみる "to try to do sth.", or
  * ~てしまう "to do sth. (with a negative connotation)"
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answer
`〜ておく` means to do something in advance as preparation/expectation for
something happening. That is to say, the thing is not yet done.

>   * パーティーのため、ケーキを作っておく。 → I'll make a cake (ahead of time) for the party.
>

However, if the action is already done and you want it to continue to remain
in that state, use `〜たまま`.

>   * ドアを開けたままにしてください。 → Please leave the door open (as it was already open).
> / "Please let the door remain as opened."
>   * (Facebook login in Japanese) ログインしたままにする → Keep me logged in.
>
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For completeness, another way might be to use `〜っ放{ぱな}し` on the end of the
`連用形` (conjunctive form) of verbs, but in contrast to `〜たまま` it tends to have
a negative nuance, e.g. `ドアを開けっ放しにしないでください` "Please don't leave the door
open".
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answer
How about using 放る as in 放っておく.

[まま と 放る](https://japanese.stackexchange.com/q/9368/769)
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