Meshing a multi body part as shown below (ANSYS)

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I have one block which i sliced into two blocks and glue them to form one part. so now I have multibody part I want to mesh them as it shown below in the image. Both parts have hex mesh but one body has course mesh and other has fine mesh, For body one size of element is 3mm and other body mesh should be adaptive. I tried meshing multibody part in ansys but it is not given me desired result. can somebody help me please.
 

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So, what is your setup, what is the obtained result, and what is the desired result? Which mesher do you use? ICEM? ANSYS mesher?