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Difference between If only and Only if

if only

1. is used to express a strong desire or hope that was not fulfilled:

  • If only I knew at the time that she would be famous one day!

2. even though (is used to introduce the clause of concession):

  • This may mean going on a trip, if only for a day or two, or an extended vacation of several weeks.

only ifnot at all unless:

  • A Commonwealth citizen or other foreign nationals can apply but only if they are resident in the UK.