When writing, it is important to avoid repeating the same phrases and words over and over again. For instance, "in a like manner" can be used to show similarity or correlation between two different things. However, using this phrase too frequently can make your writing sound redundant. Some synonyms you could use include "similarly", "in the same way", "just as", "likewise", or "comparably". Remember that by varying your vocabulary, you not only make your writing more interesting, but you also avoid boring your readers with the same phrases. So, be sure to keep a thesaurus close by and use synonyms to keep your writing fresh and engaging!