Google and Amazon stores ?

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As I have told in my earlier discussions, I own some free blogs from blogger, google. Now I have joined with amazon referral program. As you know they give a free shop to add in our blogs. I have created separate page with google page creator and added this amazon store there and gave a link to my blogs. So, visitors from my blogs can go to amazon if they want to go by clicking on the link. I do not show any adsense ad on this amazon store. My doubt is whether I can do this way? Is it legal to combine google page with Amazon and link with my blogs. My blogs show adsense ads. Please advise.