You need virtual inheritance to overcome the diamond-ambiguity.
Your first example fails because the compiler cannot disambiguate between the three implementations of implementation(). You are overriding that method in MultiplyInheritedClass, which actually overrides both FirstConcreteClass::implementation and SecondConcreteClass::implementation (once virtual, always virtual). However, both virtual calls still exist in the interface of MultiplyInheritedClass, which makes the call ambiguous at the call site.
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