The Los Angeles Times credited Bradbury with the ability "to write lyrically and evocatively of lands an imagination away, worlds he anchored in the here and now with a sense of visual clarity and small-town familiarity".

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Would you check this sentence and correct any errors?

Well, since no corrections can be made within quoted material, the only thing I see is that the end quotations mark needs to be after the period at the end.

The Los Angeles Times <~~newspapers' names need to be in italics.

Everything else looks good.