Well Yes, BUT not every slogan can be trademarked
It is common for businesses to advertise and market their products with catchy slogans. Trademarking a slogan gives you exclusive rights to use it and also you can defend your slogan from infringement.
In order to trademark a slogan, it must be:

1. It must be creative and unique. Think of McDonald’s “I’m Lovin’ It”
2. This slogan will make people immediately think of a product or service. Typically, this type of slogan has been used in commerce or advertising for at least five consecutive years. Example as AirAsia’s “Now everyone can fly”.

In case you are not sure whether your slogan can be trademarked, feel free to contact us for a consultation!
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