Crossword Genius

It can sound just the same when an H is dropped (3)

Ross

I believe the answer is:

hah

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'it can sound just' is the definition.
The definition suggests a singular noun but the answer is not.

'same when an h is dropped' is the wordplay.
'same' becomes 'h' (I can't explain this - if you can you should give a lot more credence to this answer).
'when' becomes 'as' (eg 'when I walked' means 'as I walked').
'an' becomes 'i' (Roman numeral for one).
'dropped' suggests deleting specific letters (some letters are excluded or dropped).
'as'+'i'+'h'='asih'
'asih' with 'is' taken out is 'ah'.
'h'+'ah'='HAH'

'the' acts as a link.

Can you help me to learn more?

(Another definition for hah that I've seen is " Expression of surprise (one letter short of a laugh)".)

I've seen this clue in the Evening Standard.
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