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Can I redesign a logo I created in Photoshop in illustrator?

I created a logo for my husbands business in Photoshop and he loves it! I understand that logos though need to be created in Illustrator in order to be resized with out loosing it's quality. Can I still create the same exact logo in illustrator with the same filters and effects I did in the original photoshop version I created? He wants the logo to be used on business cards, website, promotional items but also big enough for a wall banner or decal in his new facility. Any help or input would be greatly appreciated!!!enter image description here