It means that after the 'valid until' date, the product will no longer be accepted as valid. Essentially, it's an expiration date.
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A valid conclusion is an accurate answer which sums up the whole of the topic.
When someone calls a statement a "valid assumption" they mean that it is probably true.
it means acceptable and it works
"John Doe, having left a valid will, bequeathes to his..." This is simply a way to express that John Doe, now dead, wrote a will that is valid. You would not use this phrase in reference to a living person. A living person has not yet 'left' a will behind.
For an argument to be valid, it means that if the premises of the argument are true, then the conclusion must be true. Validity has to do with the form of the argument. If one or more of the premises are not true, that does not mean the argument isn't valid. Soundness means that the argument is valid, and all of it's premises are true. It's a little redundant to say "both valid and sound", because if your argument is sound, then it must be valid. It is important for an argument to be not just valid, but also sound, in order for it to be convincing.