different between rightly vs justly

English

right +? -ly

rightly (comparative rightlier or more rightly, superlative rightliest or most rightly)

From just +? -ly.

justly (comparative justlier or more justly, superlative justliest or most justly)

In a just or fair manner; rightfully.
- 1890, Robert Franklin Pennell, History of Rome:
  His valor, wisdom, and justice made him justly popular, but caused him to be regarded with suspicion at Rome.
With a just or fair use of language; with good reason, properly.
- 2012, Jay Newton-Small, ‘Gangless in Glasgow’, Time, 1 Oct 2011:
  But the city on the River Clyde can justly claim to have turned the tide.
(obsolete) With great precision; accurately, exactly.

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