Yes many (most) of the UP trademarks have logos. You can get a trademark on a logo, i.e. the various UP shields, or on a slogan or name. There are all limitations to certain words within slogans. For example I am sure that for Union Pacific the legal wording states that the Union Pacific does not claim exclusive right to the words "Union" and also "Pacific" but together they can be trademarked for use as described in the trademark description.
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