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Intangible Assets | 9 Months Ended
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Sep. 30, 2024
Goodwill and Intangible Assets Disclosure [Abstract] |
Intangible Assets | Intangible Assets Intangible assets consisted of the following at: September 30, 2024:
| Estimated Useful Life |  | Gross Amount |  | Accumulated Amortization |  | Impairment |  | Net Amount
Trademarks | Indefinite |  | $ | 59,474 |  |  | $ | — |  |  | $ | — |  |  | $ | 59,474 |
Patents | 17 years |  | 213,122 |  |  | 23,857 |  |  | — |  |  | 189,265 |
Intangible assets |  |  | $ | 272,596 |  |  | $ | 23,857 |  |  | $ | — |  |  | $ | 248,739 |
December 31, 2023:
| Estimated Useful Life |  | Gross Amount |  | Accumulated Amortization |  | Impairment |  | Net Amount
Trademarks | Indefinite |  | $ | 57,474 |  |  | $ | — |  |  | $ | — |  |  | $ | 57,474 |
Patents | 17 years |  | 169,190 |  |  | 15,783 |  |  | — |  |  | 153,407 |
Intangible assets |  |  | $ | 226,664 |  |  | $ | 15,783 |  |  | $ | — |  |  | $ | 210,881 |
During the three and nine months ended September 30, 2024, amortization expense related to intangible assets was $2,990 and $8,073, respectively. During the three and nine months ended September 30, 2023, amortization expense related to intangible assets was $2,013 and $5,390, respectively.

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