What's the difference in meaning between the following sentences:
1 Troubles of life can sometimes leave us with a frown.
2 life's troubles can sometimes leave us with a frown.
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English has two ways to convey possession: the possessive, or 'possessive case', which is usually formed with the use of an apostrophe and an 's'. The other way is by using 'of', which is more similar to how other European languages indicate possession.
For an English language learners' site, it's probably least confusing to give the following broad rules (depending on how advanced your English is).
Saying "The X of Y" will often sound strange to English speakers, even though it is grammatical and entirely understood.
So your two sentences mean exactly the same thing, but you need 'the' at the start of the first sentence, and it would be extremely unlikely to be spoken or written by a native speaker.