on it / about it
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about it / in it
Refers to a previously mentioned thing, situation, or idea (corresponds to 'an das' or 'an diese Sache').
Er hat mir einen Plan vorgeschlagen, aber ich glaube nicht daran.
He suggested a plan to me, but I don’t believe in it.
be because
A fixed expression used to give the reason or cause for something.
Dass er müde ist, liegt daran, dass er die ganze Nacht gearbeitet hat.
The fact that he is tired is because he worked all night.
on it / there
Refers to a spatial position; at this place, on this object.
Siehst du den Haken an der Wand? Häng deine Jacke daran.
Do you see the hook on the wall? Hang your jacket on it.
'Daran' is a pronominal adverb and is made up of 'da(r)' and the preposition 'an'. It replaces the combination 'an + thing' and refers to something that was mentioned before.
Das ist ein guter Vorschlag. Ich werde daran denken.
That is a good suggestion. I will think about it.
Use 'daran' only for things, ideas, or situations. If you are referring to a person, you must use the preposition 'an' with a personal pronoun.
Ich denke oft an den Urlaub. (Sache → an den Urlaub)
I often think about the vacation. (thing → an den Urlaub)
'Daran' is used with verbs or adjectives that have the fixed preposition 'an'. Typical examples are: 'sich erinnern an' (to remember), 'denken an' (to think of/about), 'glauben an' (to believe in), 'arbeiten an' (to work on), or 'interessiert sein an' (to be interested in).
Erinnerst du dich an unser Gespräch? Ja, ich erinnere mich daran.
Do you remember our conversation? Yes, I remember it.
The expression 'Es liegt daran, dass ...' (It is because ...) is a very common way to give a reason for something. The subordinate clause with 'dass' explains the cause.
Warum kommst du zu spät? – Es liegt daran, dass mein Bus ausgefallen ist.
Why are you late? – It’s because my bus was canceled.
so that / with it
Damit and daran can refer to the same thing mentioned earlier. The choice depends on the verb: beschäftigen mit something takes damit, while arbeiten an something takes daran.
Das Problem ist kompliziert, deshalb arbeite ich heute daran.
The problem is complicated, so I’m working on it today.
Das Problem ist kompliziert, deshalb beschäftige ich mich heute damit.
The problem is complicated, so I’m working on it today.
