Crossword Genius

Carried on campaign pitched to carry one (7)

Ross

I believe the answer is:

lobbied

I'm a little stuck... Click here to teach me more about this clue!

'carried on campaign' is the definition.
The answer and definition can be both to do with social activities as well as being past participle verbs.
Perhaps you can see a link between them that I can't see?

'pitched to carry one' is the wordplay.
I cannot quite understand how this works, but
'one' could be 'i' (Roman numeral) and 'i' is found within the answer.
The remaining letters 'lobbed' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for lobbied that I've seen before include "Sought to influence politicians" , "Sought to influence on a particular issue" , "having asked for support" , "Tried to influence" .)

I've seen this clue in the Sydney Morning Herald.
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