

"you gain 3 life" ( Absorb) will still apply. This means that you can still cast a spell with "counter target spell" even if the target can't be countered, and any additional effects not contingent on that spell being countered, e.g. It only means that effects that would counter the spell will do nothing instead. Note that a spell with "this spell can't be countered" is technically a legal target for "counter target spell".
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Only spells and abilities on the stack can be countered. Note that "counter" does not apply to permanents, and therefore doesn't remove anything from the battlefield or prevent creatures from attacking or blocking. When a spell is countered, it doesn't resolve it is removed from the stack with no effect, and the card is put into its owner's graveyard. To counter a spell or ability means to cancel it. A countered spell is put into its owner’s graveyard. It doesn’t resolve and none of its effects occur. To counter a spell or ability means to cancel it, removing it from the stack.

So with these 2 cards your opponent may actually "counter"(read: prevent spell from resolving) your cannot be countered spells. The spell isn't countered it just no longer exists. If a spell is returned to its owner's hand, it's removed from the stack and thus will not resolve. This works on spells that can't be countered, such as Terra Stomper. If a spell is exiled, it's removed from the stack and thus will not resolve. Mindbreak Trap can exile a spell before it resolves and Venser, Shaper Savant can return a spell back to its owner's hand before it resolves. A couple examples would be Mindbreak Trap and Venser, Shaper Savant. If a card doesn't have Cannot be countered text, then a simple Counterspell can counter this spell, so that it will end up in graveyard instead of the battlefieldĪs diego mentioned in the comment, there are some very rare cases when Cannot be countered can still get "countered"(even though it will not be countered as per definition(rule 701.5a), it can be returned back to the hand/exiled before it resolves). In other words: this spell will hit the battlefield no matter what(except for a very few very rare cases described in the edit). Cannot be countered means that your opponent(s) will not be able to counter this spell.
