The unwinder device comprises: unwinding members for simultaneously unwinding a first reel (B1) and a second reel (B2), a splicing device (151) for splicing together a first web-like material (N1) coming from said first reel (B1) and a second web-like material (N2) coming from said second reel (B2), an accumulator member (24, 200) for accumulating web-like material (N2) supplied from said second reel (B2) before splicing to the web-like material (N1) supplied from said first reel (B1).
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