～ばと思います【～ばとおもいます】

～ばと思います is a polite way to say what you hope for: "it would be good if…", "I'd be grateful if…". It is the ば-form of a verb followed by とおもいます思います, with the "it would be good" in the middle left unsaid – the full version is ばいいとおもいます思います.

When the hope is about your own action, the verb goes in the potential form – you hope you will manage it. A plain ば on your own deliberate action sounds wrong.

• × もっと努力すればと思います → もっと努力できればと思います

Asking someone politely

With いただければ, the hope is that the listener will do something, and the sentence becomes a soft request. This is the form you see most in business emails, notices and speeches.

It is softer than てください and ていただけますか because it asks nothing directly. With friends it sounds stiff; there, ask with てくれるきごう？.

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～ばと思います belongs to polite speech and writing. Between friends the same hope is 〜～たらいいな or 〜～ばいいな.