Bag raw chicken and meat separately so that the juices don't drip onto the vegetables and mayonnaises.
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Juices from raw meat, poultry or seafood should be carefully contained so that they don't contaminate other foods which may not be cooked prior to eating. It is also important not to let them contaminate other food containers like the mayonnaise jar, which would allow you to cross-contaminate any pathogens from the raw meat to other surfaces or foods in your kitchen.