herein
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in this
A formal adverb meaning 'in this matter,' 'on this point,' or 'in this document.' It refers to a previously mentioned object, text, or context.
Der Bericht beschreibt die Risiken des Projekts; hierin liegt auch seine größte Schwäche.
The report describes the risks of the project; in this also lies its greatest weakness.
in here
An old-fashioned or very formal way of saying 'in here' to indicate a place. It refers to the speaker's immediate physical area.
Dies ist die Schatulle meiner Großmutter, und hierin bewahre ich ihre Briefe auf.
This is my grandmother's casket, and in here I keep her letters.
'Hierin' (in this / herein) is a so-called pronominal adverb formed from 'hier' (here) and 'in' (in). It is a formal alternative to 'in diesem' (in this) or 'in dieser Sache' (in this matter) and refers to something that has just been mentioned.
Das ist der entscheidende Punkt. Hierin müssen wir uns einig werden.
That is the decisive point. On this, we must come to an agreement.
'Hierin' (in this / herein) is a word of written language and formal style. It is used only rarely in everyday spoken language.
Der Vertrag ist unklar. Hierin sehen wir ein erhebliches Risiko.
The contract is unclear. In this, we see a considerable risk.
When 'hierin' (in this / herein) stands at the beginning of a sentence, the verb follows directly after it (inversion). This word order is often used to emphasize a particular point.
Die Methode ist neu. Hierin liegt ihre große Chance.
The method is new. Herein lies its great opportunity.
Most of the time, 'hierin' (in this / herein) is used abstractly and refers to an idea, a text, or a situation. The literal spatial meaning ('hier drinnen' — in here) is very rare and often sounds old-fashioned.
Das Problem ist komplex. Hierin sind sich alle Experten einig.
The problem is complex. On this, all experts agree.
in it / therein
Darin and hierin can both refer to the content of a mentioned thing or document. Darin usually refers neutrally to something mentioned earlier. Hierin sounds noticeably more formal and can place greater emphasis on the text at hand or the point currently being discussed.
Bitte prüfen Sie den vorliegenden Vertrag, denn hierin steht die Kündigungsfrist.
Please review the contract at hand, because it states the notice period.
Ich habe den Vertrag gelesen, aber darin steht nichts über die Kündigungsfrist.
I read the contract, but it says nothing about the notice period.
