The pipes under your sinks have some very important jobs. One is to effectively drain the water from the faucet, and another is to keep sewer gases from entering your home. The issues in the picture on the left are the flex piping (1) which has a high rate of clogging, and (2 & 3) multiple P-traps - there should be only one. One P-trap creates an effective water barrier/seal that traps unwanted sewer gasses. Two or more traps impede flow and are more likely to get clogged.
From Rick & Lori:
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