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The Nordstrom family is offering to buy the department store chain for about $3.8 billion. Nordstrom rose 0.5%. The Nordstrom family on Tuesday delivered a non-binding offer to acquire the retailer for $23 a share in cash, according to a 13D filing on Wednesday. The offer represents a premium of less than 1% to Nordstrom's closing price of $22.82 on Tuesday.