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Daughter thinks son displays stupidity (8)
d---ness
Departs early, avoiding odd characters in 1 (6)
n-t-r-
Russian newspaper is reportedly opposing Baltic state — that’s not on (8)
i--e-t-a

Daughter... Dopiness (d is 'daugter'+'opines'/thinks+'s'/son)

Departs early... Eatery (letters in dEpArTsEaRlY)

PS It's easier to help if you give numbers for the clues.

I should have added, re 'departs early...' that the 1 in the clue refers to 1 Across, which is Bistro an eatery.

Izvestia.

Thanks malone. Any idea on russian newspaper?

Sorry rusty , missed your post

Last one.
9 Strong old GI: he joins soldiers in captivity (8)
-e-a-e-t

Vehement