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In this paper we examine the possibility of describing omitting types 1 and 2by two at most ternary terms and any number of linear identities. All possiblecases of systems of linear identities on two at most ternary terms are beinganalyzed, and it is shown that only a single one of these systems mightdescribe omitting types 1 and 2. However, we do not resolve whether it actuallydescribes omitting mentioned types, but only prove that it implies thisproperty, so this question is left for further examination.

On terms describing omitting types 1 and 2 - an improved version