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In the paper, by virtue of the <i>p</i>-adic invariant integral on <inline-formula> <math display="inline"> <semantics> <msub> <mi mathvariant="double-struck">Z</mi> <mi>p</mi> </msub> </semantics> </math> </inline-formula>, the authors consider a type 2 <i>w</i>-Daehee polynomials and present some properties and identities of these polynomials related with well-known special polynomials. In addition, we present some symmetric identities involving the higher order type 2 <i>w</i>-Daehee polynomials. These identities extend and generalize some known results.